Converting Decimals to Fractions and Fractions to Decimals

Problem #1
Convert .58 into a fraction in simplest form.

Step One
Write .58 as a fraction using 100 as the denominator:
58/100

Step Two
Reduce the fraction to its simplest form.  Divide both the numerator (58) and the denominator (100) by 2:
58/2 = 29
100/2 = 50

ANSWER
= 29/50


Problem #2
Write -1/5 as a decimal.

Step One
Find an equivalent fraction to -1/5 with 10 as the denominator.

Step Two
In order to get the denominator (the 5) to equal 10, we must multiply the fraction by 2:
-1 x 2 = -2
5 x 2 = 10

= -2/10

Step Three
Convert the new fraction to a decimal:
-2/10 = -.2


Problem #3
Convert .35 into a fraction in simplest form.

Step One
Write .35 as a fraction using 100 as the denominator:
35/100

Step Two
Reduce the fraction to its simplest form.  Divide both the numerator (35) and the denominator (100) by 5:
35/5 = 7
100/5 = 20

ANSWER
= 7/20


Problem #4
Convert .6 into a fraction in simplest form.

Step One
Write 6 as a fraction using 10 as the denominator:
6/10

Step Two
Reduce the fraction to its simplest form.  Divide both the numerator (6) and the denominator (10) by 2:
6/2 = 3
10/2 = 5

ANSWER
= 3/5


Problem #5
Convert .75 into a fraction in simplest form.

Step One
Write 75 as a fraction using 100 as the denominator:
75/100

Step Two
Reduce the fraction to its simplest form.  Divide both the numerator (75) and the denominator (100) by 25:
75/25 = 3
100/25 = 4

ANSWER
= 3/4


Problem #6
Convert .34 into a fraction in simplest form.

Step One
Write 34 as a fraction using 100 as the denominator:
34/100

Step Two
Reduce the fraction to its simplest form.  Divide both the numerator (34) and the denominator (100) by 2:
34/2 = 17
100/2 = 50

ANSWER
= 17/50