1. Writing Terminating Decimals as Fractions
EXAMPLE 3
Writing Terminating Decimals as Fractions
Write the decimal as a fraction or mixed number in
simplest form.
0.4 a. = 4 10
4 is in the tenths’ place. 2 = 5
Simplify. =
1000
– 1
905 b.
–1.905
5 is in the thousandths’ place.
200
181 =
– 1
905
1000 =
– 1
181
200
Simplify.

2. Writing Repeating Decimals as Fractions
EXAMPLE 4
Writing Repeating Decimals as Fractions
STEP 1
Write 0.48 as a fraction by first letting x
0.48 = or
STEP 2
Multiply by 10 , or 100, because the number has 2 repeating digits. You get 100x = , or 2
STEP 3
Subtract x from 100x. =
100x
– x
99x
STEP 4
Solve for x and simplify x = 48 99 16 33

3. EXAMPLE 4
ANSWER 16
The decimal 0.48 is equivalent to the fraction 33

4. GUIDED PRACTICE
for Examples 3 and 4
Write the decimal as a fraction or mixed number. = 50 31 – 9 20 2 =

5. GUIDED PRACTICE
for Examples 3 and 4
Write the decimal as a fraction or mixed number. 9 7 = 11 4 =