Question

Write each decimal as a fraction or a mixed number.

a) 0.003
b) 7.001
c) 0.007
d) 0.065
e) 0.832
f) 3.078

Answer 1

A.) 3/1000 fraction
B.) 7 1/1000 mixed number
C.) 7/1000 fraction
D.) 65/1000 fraction simplified: 13/200
E.) 832/1000 fraction simplified: 104/125
F.) 3 78/1000 mixed number simplified: 3 39/500

To convert the decimal to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

0.003 = 0.003/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.003/1 = (0.003 x 1000)/(1 x 1000) = 3/1000.

If the fraction needs to be reduced, do so. In the case of a few, they are already in their lowest forms.