1. Write the fraction as a decimal.
Example 1
Writing Fractions as Decimals
Write the fraction as a decimal.
Repeating
decimal 11 5 a. 11
4 4 60 55 50 44 60 55
ANSWER = 11 5
0.45

2. Write the fraction as a decimal.
Example 1
Writing Fractions as Decimals
Write the fraction as a decimal.
0.35
Terminating
decimal 20 7 b. 20
7.00
6 0
1 00
1 00
ANSWER
0.35 = 20 7

3. The table lists the mean lengths of four species of
Example 2
Writing Mixed Numbers as Decimals
BIOLOGY
The table lists the mean lengths of four species of
finches. Write the lengths as decimals.
Finch
House
Indigo
Lazuli
Purple
species
finch
bunting
bunting
finch
Length 8 5 2 1 5 7 4 3 5 5 (
inches ) 16
SOLUTION
Write each mixed number as the sum of a whole number and a fraction. Then convert the fraction to
a decimal and add it to the whole number.

4. Example 2
Writing Mixed Numbers as Decimals 5 5 5 = 5 + = 5 +
0.625 =
5.625 8 8 2 1 5 = +
0.5
5.5 16 7 5 = +
0.4375
5.4375 4 3 5 = +
0.75
5.75
ANSWER
In decimal form, the lengths are inches, 5.5 inches, inches, and inches.

5. Write the decimal as a fraction or mixed number in simplest form.
Example 3
Writing Terminating Decimals as Fractions
Write the decimal as a fraction or mixed number in simplest form. 10 4 =
4 is in the
tenths’ place. a.
0.4 5 2 =
Simplify.

6. Write the decimal as a fraction or mixed number in simplest form.
Example 3
Writing Terminating Decimals as Fractions
Write the decimal as a fraction or mixed number in simplest form.
5 is in the thousandths’ place. =
905
1000 – 1 b. –
1.905 =
905
1000 – 1
181
200 =
181
200 1 –
Simplify.

7. Write the fraction or mixed number as a decimal.
Guided Practice
for Examples 1, 2, and 3
Write the fraction or mixed number as a decimal. 8 1.
ANSWER
0.32 25 2. 6 1
ANSWER 6
0.1 5 2 4 3.
ANSWER
4.4 4. 3 1 5 –
ANSWER 3 5. –

8. Write the decimal as a fraction or mixed number in simplest form.
Guided Practice
for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
Write 0.62 as a fraction. 5.
ANSWER 50 31
6. Write as a mixed number. –
ANSWER 2 – 20 9