Question

How to express decimals as fractions in lowest terms?

Answer 1

Answer:

Step 1: Write down the decimal divided by 1, like this:    decimal1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction

Example: Convert 0.75 to a fraction

Step 1: Write down 0.75 divided by 1:

0.751

Step 2: Multiply both top and bottom by 100 (because there are 2 digits after the decimal point so that is 10×10=100):

0.751  =  75100

(Do you see how it turns the top number

into a whole number?)

Step 3: Simplify the fraction (this took me two steps):

 ÷5   ÷ 5  

right over arrow   right over arrow

75100 =  1520 =  34

right under arrow   right under arrow

 ÷5   ÷ 5  

Answer =  34

Note: 75/100 is called a decimal fraction and 3/4 is called a common fraction !

Explanation: