In the following exercises, name the fraction of each figure that is shaded.

Audrey F.

Numerade Educator

In the following exercises, name the fraction of each figure that is shaded.

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

$$\frac{5}{6}$$

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Audrey F.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Danny K.

Numerade Educator

In the following exercises, shade parts of circles or squares to model the following fractions.

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

Audrey F.

Numerade Educator

In the following exercises, use fraction circles to make wholes, if possible, with the following pieces.

3 thirds

Audrey F.

Numerade Educator

In the following exercises, use fraction circles to make wholes, if possible, with the following pieces.

8 eighths

Audrey F.

Numerade Educator

In the following exercises, use fraction circles to make wholes, if possible, with the following pieces.

7 sixths

Audrey F.

Numerade Educator

In the following exercises, use fraction circles to make wholes, if possible, with the following pieces.

4 thirds

Audrey F.

Numerade Educator

7 fifths

Audrey F.

Numerade Educator

7 fourths

Audrey F.

Numerade Educator

In the following exercises, name the improper fractions. Then write each improper fraction as a mixed number.

Audrey F.

Numerade Educator

Audrey F.

Numerade Educator

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

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

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

$$\frac{4}{4}$$

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

$$\frac{7}{4}$$

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

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

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

$$\frac{11}{6}$$

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

$$\frac{13}{8}$$

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

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

Audrey F.

Numerade Educator

In the following exercises, draw fraction circles to model the given fraction.

$$\frac{9}{4}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

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

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

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

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

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

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

$$\frac{13}{5}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

$$\frac{25}{6}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

$$\frac{28}{9}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

$$\frac{42}{13}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the improper fraction as a mixed number.

$$\frac{47}{15}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$1 \frac{2}{3}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$1 \frac{2}{5}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$2 \frac{1}{4}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$2 \frac{5}{6}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$2 \frac{7}{9}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$2 \frac{5}{7}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$3 \frac{4}{7}$$

Audrey F.

Numerade Educator

In the following exercises, rewrite the mixed number as an improper fraction.

$$3 \frac{5}{9}$$

Audrey F.

Numerade Educator

In the following exercises, use fraction tiles or draw a figure to find equivalent fractions.

How many sixths equal one third?

Audrey F.

Numerade Educator

In the following exercises, use fraction tiles or draw a figure to find equivalent fractions.

How many twelfths equal one third?

Audrey F.

Numerade Educator

In the following exercises, use fraction tiles or draw a figure to find equivalent fractions.

How many eighths equal three-fourths?

Audrey F.

Numerade Educator

In the following exercises, use fraction tiles or draw a figure to find equivalent fractions.

How many twelfths equal three-fourths?

Audrey F.

Numerade Educator

In the following exercises, use fraction tiles or draw a figure to find equivalent fractions.

How many fourths equal three-halves?

Audrey F.

Numerade Educator

In the following exercises, use fraction tiles or draw a figure to find equivalent fractions.

How many sixths equal three- halves?

Audrey F.

Numerade Educator

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

$$\frac{1}{4}$$

Audrey F.

Numerade Educator

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

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

Audrey F.

Numerade Educator

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

$$\frac{3}{8}$$

Audrey F.

Numerade Educator

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

$$\frac{5}{6}$$

Audrey F.

Numerade Educator

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

$$\frac{2}{7}$$

Audrey F.

Numerade Educator

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

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

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

\frac{2}{3}, \frac{5}{4}, \frac{12}{5}

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

\frac{1}{3}, \frac{7}{4}, \frac{13}{5}

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

\frac{1}{4}, \frac{9}{5}, \frac{11}{3}

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

\frac{7}{10}, \frac{5}{2}, \frac{13}{8}, 3

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

2 \frac{1}{3},-2 \frac{1}{3}

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

1 \frac{3}{4},-1 \frac{3}{5}

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

\frac{3}{4},-\frac{3}{4}, 1 \frac{2}{3},-1 \frac{2}{3}, \frac{5}{2},-\frac{5}{2}

$$

Audrey F.

Numerade Educator

In the following exercises, plot the numbers on a number line.

$$

\frac{2}{5},-\frac{2}{5}, 1 \frac{3}{4},-1 \frac{3}{4}, \frac{8}{3},-\frac{8}{3}

$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-1_{-}-\frac{1}{4}$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-1_{-}-\frac{1}{3}$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-2 \frac{1}{2}-3$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-1 \frac{3}{4}--2$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-\frac{5}{12}--\frac{7}{12}$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$-\frac{9}{10}--\frac{3}{10}$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-3_{-}-\frac{13}{5}$$

Audrey F.

Numerade Educator

In the following exercises, order each of the following pairs of numbers, using $<$ or $>.$

$$-4_{-}\frac{23}{6}$$

Audrey F.

Numerade Educator

Music Measures A choreographed dance is broken into counts. A $\frac{1}{1}$ count has one step in a count, a $\frac{1}{2}$ count has two steps in a count and a $\frac{1}{3}$ count has three steps in a count. How many steps would be in a $\frac{1}{5}$ count? What type of count has four steps in it?

Audrey F.

Numerade Educator

Music Measures Fractions are used often in music. In $\frac{4}{4}$ time, there are four quarter notes in one measure.

(a) How many measures would eight quarter notes make?

(b) The song "Happy Birthday to You" has 25 quarter notes. How many measures are there in

"Happy Birthday to You?"

Audrey F.

Numerade Educator

Baking Nina is making five pans of fudge to serve after a music recital. For each pan, she needs $\frac{1}{2}$ cup of walnuts.

(a) How many cups of walnuts does she need for five pans of fudge?

(b) Do you think it is easier to measure this amount when you use an improper fraction or a mixed number? Why?

Audrey F.

Numerade Educator

Give an example from your life experience (outside of school) where it was important to understand

fractions.

Audrey F.

Numerade Educator

Explain how you locate the improper fraction $\frac{21}{4}$ on a number line on which only the whole numbers from 0 through 10 are marked.

Audrey F.

Numerade Educator