Visualize Fractions

Indeed, we can convert every mixed number into an improper fraction. We will discuss this conversion trick in the next section. Read this text, complete the practice problems, and check your answers.

Exercises

EXAMPLE 4.5

Name the improper fraction modeled. Then write the improper fraction as a mixed number.

TRY IT 4.9

Name the improper fraction. Then write it as a mixed number.

TRY IT 4.10

Name the improper fraction. Then write it as a mixed number.

EXAMPLE 4.6

Draw a figure to model

$\dfrac{11}{8}$ .

TRY IT 4.11

Draw a figure to model

$\dfrac{7}{6}$ .

TRY IT 4.12

Draw a figure to model

$\dfrac{6}{5}$ .

EXAMPLE 4.7

Use a model to rewrite the improper fraction

$\dfrac{11}{6}$ as a mixed number.

TRY IT 4.13

Use a model to rewrite the improper fraction as a mixed number:

$\dfrac{9}{7}$ .

TRY IT 4.14

Use a model to rewrite the improper fraction as a mixed number:

$\dfrac{7}{4}$ .

EXAMPLE 4.8

Use a model to rewrite the mixed number

$1 \dfrac{4}{5}$ as an improper fraction.

TRY IT 4.15

Use a model to rewrite the mixed number as an improper fraction:

$1 \dfrac{3}{8}$ .

TRY IT 4.16

Use a model to rewrite the mixed number as an improper fraction:

$1 \dfrac{5}{6}$ .