Equivalent Fractions and Decimals

Name _______________________________________ Date __________________ Class __________________
Equivalent Fractions and Decimals
LESSON
2-10
Convert Fractions to Decimals
To write a fraction as a decimal, divide the numerator of the fraction
by the denominator of the fraction.
0.428
7 3.000
3
Write
as a decimal.
7
 28 
• Divide 3 by 7.
20
• To round your answer to the
 14 
nearest hundredth, add 3 zeros
60
after the decimal point in the divisor.
 56
4
0.428 rounded to the nearest
hundredth is 0.43.
1. Write
2
as a decimal.
5
2

5
_______________
5 2.0
 ____
____
Write each fraction as a decimal. Round to the nearest
thousandth, if necessary.
2.
3
4
__________
3.
7
8
__________
4.
3
2
__________
5.
5
3
__________
Name _______________________________________ Date __________________ Class __________________
Convert Decimals to Fractions:
To write a decimal as a fraction:
Step 1: Use place value to read the decimal. Say the number aloud.
Step 2: Write a fraction for the number you just said.
Step 3: Simplify if necessary.
Write 0.005 as a fraction.
Read 0.005 as “five thousandths.”
5
Write
for five thousandths.
1000
Simplify: 5  5  1
200
1,000  5
Write 1.6 as a fraction.
Read 1.6 as “one and six tenths.”
6
Write 1
for one and six tenths.
10
Simplify: 1 6  2  1 3
5
10  2
Write each decimal as a fraction or mixed number
in simplest form.
6. 0.8 __________
7. 2.25 __________
8. 0.02 __________