Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{7}{8}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{3}{5}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{5}{16}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$1 \frac{3}{20}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$2 \frac{2}{5}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$6 \frac{3}{4}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{2}{3}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-\frac{5}{9}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$4 \frac{2}{11}$$

Sarah W.

Numerade Educator

In $2004,$ the San Francisco 49ers led the NFL in converting on 14 of 19 fourth downs. To the nearest thousandth, what part of the time did the 49ers convert on fourth down?

Sarah W.

Numerade Educator

Replace each with $<,>,$ or $=$ to make a true sentence.

$$\frac{9}{10} \circ 0.90$$

Sarah W.

Numerade Educator

Replace each with $<,>,$ or $=$ to make a true sentence.

$$0.3 \circ \frac{1}{3}$$

Sarah W.

Numerade Educator

Replace each with $<,>,$ or $=$ to make a true sentence.

$$-\frac{3}{4} \circ-\frac{7}{8}$$

Sarah W.

Numerade Educator

Seven-fiftieths of water usage comes from leaky plumbing and $\frac{3}{20}$ come from faucets. Does a greater fraction of water usage come from leaky plumbing or from faucets?

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{1}{5}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{7}{20}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-\frac{8}{25}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-\frac{5}{8}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$7 \frac{3}{10}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$1 \frac{1}{2}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-5 \frac{1}{8}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-3 \frac{3}{4}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{1}{9}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$\frac{2}{9}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-\frac{5}{11}$$

Sarah W.

Numerade Educator

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal.

$$-\frac{4}{11}$$

Sarah W.

Numerade Educator

The customer service department resolved 106 of 120 customer complaints in a one-hour time span. To the nearest thousandth, find the resolve rate of the customer service department.

Sarah W.

Numerade Educator

During the $2003-2004$ season, Kevin Weekes of the Carolina Hurricanes saved 1506 out of 1652 shots on goal. To the nearest thousandth, what part of the time did Weekes save shots on goal?

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$0.3 \circ \frac{1}{4}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$\frac{5}{8} \circ 0.65$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$\frac{2}{5} \circ 0.4$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$0.3 \circ \frac{1}{2}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$\frac{7}{8} \circ \frac{8}{9}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$\frac{5}{7} \circ \frac{10}{14}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-\frac{1}{8} \circ-\frac{1}{10}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-\frac{6}{25} \circ-\frac{1}{4}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$\frac{1}{5} \circ 0 . \overline{5}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$1 \frac{1}{20} \circ 1.01$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$3 \frac{4}{9} \circ 3 . \overline{4}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$6.18 \circ 6 \frac{1}{5}$$

Sarah W.

Numerade Educator

For Exercises 41 and 42 use the graph at the right.

Did more or less than one-fourth of an inch of rain fall on Tuesday? Explain.

Sarah W.

Numerade Educator

For Exercises 41 and 42 use the graph at the right.

Suppose it rained $\frac{9}{10}$ inch on Saturday. How does this compare to the previous five days?

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-0.75 \circ-\frac{7}{9}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$\frac{34}{99} \circ 0.3 \overline{4}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-2 \frac{1}{12} \circ-2.09$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-\frac{5}{16} \circ-\frac{8}{25}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-2.2 \circ-2 \frac{2}{7}$$

Sarah W.

Numerade Educator

Replace each $\circ$ with $<,>,$ or $=$ to make a true sentence.

$$-5 \frac{1}{3} \circ-5 \frac{3}{10}$$

Sarah W.

Numerade Educator

Of all the cars sold in the United States in $2003, \frac{2}{5}$ were imported from Japan and 0.26 were imported from Germany. Are more Japanese or German cars sold in the United States? Explain.

Sarah W.

Numerade Educator

Order each group of numbers from least to greatest.

$$\frac{7}{8}, 0.8, \frac{7}{9}$$

Sarah W.

Numerade Educator

Order each group of numbers from least to greatest.

$$-0.29,-\frac{3}{11},-\frac{2}{7}$$

Sarah W.

Numerade Educator

Order each group of numbers from least to greatest.

$$2 \frac{3}{5}, 2.67,2 \frac{2}{3}$$

Sarah W.

Numerade Educator

Order each group of numbers from least to greatest.

$$-1 . \overline{1},-1 \frac{1}{8},-1 \frac{1}{10}$$

Sarah W.

Numerade Educator

Find a fraction or mixed number that might represent each point on the graph at the right.

Sarah W.

Numerade Educator

For Exercises 55 and $56,$ use the following information.

Write $\frac{5}{6}$ as a decimal rounded to the nearest hundredth.

Sarah W.

Numerade Educator

For Exercises 55 and $56,$ use the following information.

Which form of the number is best to use? Explain.

Sarah W.

Numerade Educator

Give one example each of real-world situations where it is most appropriate to give a response in fractional form and in decimal form.

Sarah W.

Numerade Educator

Find a terminating and a repeating decimal between $\frac{1}{6}$ and $\frac{8}{9} .$ Explain how you found them.

Sarah W.

Numerade Educator

Write the prime factorization of each denominator and the decimal equivalent of each fraction. Then explain how prime factors of denominators and the decimal equivalents of fractions are related.

$$\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}, \frac{1}{8}, \frac{1}{9}, \frac{1}{10}, \frac{1}{12}, \frac{1}{15}, \frac{1}{20}$$

Check back soon!

Luke is making lasagna that calls for $\frac{4}{5}$ pound of mozzarella cheese. The store only has packages that contain 0.75 - and 0.85 -pound of mozzarella cheese. Which of the following techniques might Luke use to determine which package to buy? Justify your selection(s). Then use the technique(s) to solve the problem.

Sarah W.

Numerade Educator

Explain how 0.5 and$0 . \overline{5}$are different. Which is greater?

Sarah W.

Numerade Educator

Which decimal represents the shaded portion of the figure?

A 0.6

B $0 . \overline{6}$

C 0.63

D $0.6 \overline{3}$

Sarah W.

Numerade Educator

The fraction $\frac{7}{9}$ is found between which pair of fractions on a number line?

F. $\frac{3}{5}$ and $\frac{3}{4}$

G. $\frac{7}{10}$ and $\frac{4}{5}$

H. $\frac{7}{10}$ and $\frac{3}{4}$

J. $\frac{3}{5}$ and $\frac{2}{3}$

Sarah W.

Numerade Educator

A car travels an average of 464 miles on one tank of gas. If the tank holds 16 gallons, how many miles per gallon does it get?

Sarah W.

Numerade Educator

A scuba diver descends from the surface of the lake at a rate of 6 meters per minute. Where will the diver be in relation to the lake's surface after 4 minutes?

Sarah W.

Numerade Educator