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  • Ratio and Proportion

Prealgebra

Charles P. McKeague

Chapter 6

Ratio and Proportion - all with Video Answers

Educators

Section 1

Ratios

Problem 1

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$8 \quad to\quad 6$$

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Problem 2

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$6 \quad to\quad 8$$

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Problem 3

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$64 \quad to\quad 12$$

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Problem 4

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$12 \quad to\quad 64$$

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Problem 5

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$100 \quad to\quad 250$$

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Problem 6

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$250 \quad to\quad 100$$

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Problem 7

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$13 \quad to\quad 26$$

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Problem 8

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$36 \quad to\quad 18$$

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Problem 9

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{3}{4} \operatorname{to} \frac{1}{4}$$

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Problem 10

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{5}{8} \text { to } \frac{3}{8}$$

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Problem 11

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{7}{3} \text { to } \frac{6}{3}$$

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Problem 12

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{9}{5} \text { to } \frac{11}{5}$$

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Problem 13

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{6}{5} \text { to } \frac{6}{7}$$

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Problem 14

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{5}{3} \text { to } \frac{1}{3}$$

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Problem 15

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$2 \frac{1}{2} \text { to } 3 \frac{1}{2}$$

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Problem 16

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$5 \frac{1}{4} \text { to } 1 \frac{3}{4}$$

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Problem 17

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$2 \frac{2}{3} \text { to } \frac{5}{3}$$

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Problem 18

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$\frac{1}{2} \operatorname{to} 3 \frac{1}{2}$$

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Problem 19

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$0.05 \text { to } 0.15$$

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Problem 20

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$0.21 \text { to } 0.03$$

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Problem 21

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$0.3 \text { to } 3$$

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Problem 22

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$0.5 \text { to } 10$$

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Problem 23

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$1.2 \text { to } 10$$

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Problem 24

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$6.4 \text { to } 0.8$$

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Problem 25

a. What is the ratio of shaded squares to nonshaded squares?
b. What is the ratio of shaded squares to total squares?
c. What is the ratio of nonshaded squares to total squares?
CAN'T COPY THE FIGURE

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Problem 26

a. What is the ratio of shaded squares to nonshaded squares?
b. What is the ratio of shaded squares to total squares?
c. What is the ratio of nonshaded squares to total squares?
CAN'T COPY THE FIGURE

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Problem 27

The chart shows the number of hits for the three best charting artists in the United States. Use the information to find the ratio of hits the Beach Boys had to hits the Beatles had.
CAN'T COPY THE CHART

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Problem 28

Google Earth The Google Earth image shows Crater Lake National Park in Oregon. The park covers 266 square miles and the lake covers 20 square miles. What is the ratio of the park's area to the lake's area? Write your answer as a decimal.
(IMAGE CAN'T COPY)

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Problem 29

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$100 \mathrm{mg} \text { to } 5 \mathrm{mL}$$

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Problem 30

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$25 \text { g to } 1 \mathrm{L}$$

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Problem 31

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$375 \mathrm{mg} \text { to } 10 \mathrm{mL}$$

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Problem 32

Write each of the following ratios as a fraction in lowest terms. None of the answers should contain decimals.
$$450 \mathrm{mg} \text { to } 20 \mathrm{mL}$$

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Problem 33

Family Budget $A$ family of four budgeted the following amounts for some of their monthly bills:
Food bill $\$ 400$ Gas bill $\$ 100$ Ulities bill $\$ 150$ Rent $\$ 650$ a. What is the ratio of the rent to the food bill?
b. What is the ratio of the gas bill to the food bill?
c. What is the ratio of the utilities bill to the food bill?
d. What is the ratio of the rent to the utilities bill?
(IMAGE CAN'T COPY)

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Problem 34

Nutrition One cup of breakfast cereal was found to contain the following nutrients:
a. Find the ratio of water to protein.
b. Find the ratio of carbohydrates to protein.
c. Find the ratio of vitamins to minerals.
d. Find the ratio of protein to vitamins and minerals.
(IMAGE CAN'T COPY)

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Problem 35

Profit and Revenue The following bar chart shows the profit and revenue of the Baby Steps Shoe Company each quarter for one year.
Find the ratio of revenue to profit for each of the following quarters. Write your answer in lowest terms.
a. $\mathrm{Q} 1$
b. Q2
c. $Q 3$
d. $Q 4$
e. Find the ratio of revenue to profit for the entire year.
(GRAPH CAN'T COPY)

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Problem 36

Geometry Regarding the diagram below, $A C$ represents the length of the line segment that starts at $A$ and ends at $C$. From the diagram we see that $A C=8$.
a. Find the ratio of $B C$ to $A C$
b. What is the length $A E ?$
c. Find the ratio of $D E$ to $A E$
(IMAGE CAN'T COPY)

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Problem 37

Major League Baseball The following table shows the number of games won during the 2007 baseball season by several National League teams.
a. What is the ratio of wins of the New York Mets to the
St. Louis Cardinals?
b. What is the ratio of wins of the Washington Nationals to the Houston Astros?
c. What is the ratio of wins of the Cincinnati Reds to the Atlanta Braves?
(IMAGE CAN'T COPY)

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Problem 38

Buying an iPod'm The hard drive of an Apple iPod determines how many songs you will be able to store and carry around with you. The table below compares the size of the hard-drive, song capacity and cost of three popular iPods.
a. What is the ratio of hard-drive size between the Shuffle and the Nano? Between the Shuffle and the
Classic?
b. What is the ratio of number of songs between the Shuffle and the Nano? Between the Shuffle and the Classic?
(IMAGE CAN'T COPY)

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Problem 39

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{90}{5}$$

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Problem 40

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{120}{3}$$

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Problem 41

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{125}{2}$$

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Problem 42

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{2}{10}$$

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Problem 43

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{1.23}{2}$$

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Problem 44

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{1.39}{2}$$

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Problem 45

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{88}{0.5}$$

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Problem 46

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{1.99}{0.5}$$

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Problem 47

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{46}{0.25}$$

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Problem 48

The following problems review material from a previous section. Reviewing these problems will help you with the next section.
Write as a decimal.
$$\frac{92}{0.25}$$

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Problem 49

Divide. Round answers to the nearest thousandth.
$$0.48 \div 5.5$$

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Problem 50

Divide. Round answers to the nearest thousandth.
$$0.75 \div 11.5$$

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Problem 51

Divide. Round answers to the nearest thousandth.
$$2.19 \div 46$$

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Problem 52

Divide. Round answers to the nearest thousandth.
$$1.25 \div 50$$

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Problem 53

Multiply and divide as indicated.
$$\frac{3}{4} \cdot \frac{5}{6}$$

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Problem 54

Multiply and divide as indicated.
$$\frac{7}{8} \cdot 32$$

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Problem 55

Multiply and divide as indicated.
$$\frac{11}{16} \div \frac{1}{8}$$

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Problem 56

Multiply and divide as indicated.
$$13 \div \frac{1}{3}$$

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Problem 57

Multiply and divide as indicated.
$$\frac{65}{72} \cdot \frac{108}{273}$$

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Problem 58

Multiply and divide as indicated.
$$\frac{165}{84} \cdot \frac{24}{195}$$

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Problem 58

Multiply and divide as indicated.
$$\frac{165}{84} \cdot \frac{24}{195}$$

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Problem 59

Multiply and divide as indicated.
$$\frac{3}{4}+\frac{1}{8} \cdot 16$$

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Problem 60

Multiply and divide as indicated.
$$\frac{1}{4}+\frac{1}{12} \cdot 6$$

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