1. Converting Fractions to Decimals & Decimals to Fractions
Math
Converting Fractions to Decimals & Decimals to Fractions

2. Vocabulary
Terminating Decimal—A decimal whose digits end.

3. How to Convert Fractions into Decimals
Divide numerator by denominator using long division.
Divide numerator by denominator using your calculator. (Do this to check your answers!)

4. Write each fraction or mixed number as a decimal.
5 ¾
1/8
7 3/5

5. Vocabulary
Repeating Decimal—A decimal whose digits repeats in groups of one or more.
Bar Notation—In repeating decimals, the line or bar placed over the digits that repeat.
…= 0.3
…= 0.12 …=

6. Write each fraction or mixed number as a decimal.
7/9
8 1/3
1/11
6 4/9
5/8
2/3
1 3/11
6 2/5
4 5/6

7. There were 6 girls and 18 boys in Mrs. Johnson’s math class
There were 6 girls and 18 boys in Mrs. Johnson’s math class. Write the number of girls as a fraction of the number of boys. Then convert the fraction to a repeating decimal.

8. In a neighborhood of 72 families, 18 families own one or more cats
In a neighborhood of 72 families, 18 families own one or more cats. Write the number of families who own one or more cats as a fraction. Then convert the fraction to a decimal.

9. In Italy, about 74 of every 100 people use cellular telephones
In Italy, about 74 of every 100 people use cellular telephones. Write the fraction of cellular phone users in Italy. Then write the fraction as a decimal.

10. Converting Decimals to Fractions
Use the place value of the final digit as the denominator.
Be sure to simplify!
Example:
.62 = 62 = 31
(I used 100 as the denominator because the final digit (2) is in the hundredths place.)

11. Place Value 0.4 Tenths—1 place past decimal 0.44
Hundredths—2 places past decimal
0.444
Thousandths—3 places past decimal

12. Write each number as a fraction in simplest form.
0.48
0.564
0.3
2.8
.72
4.6

13. Class Work