Grade 6 Decimals: Fractions to Decimals

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   Write 1/4 as a decimal.

   1. A fraction means division: 1/4 = 1 ÷ 4.
   2. Make the denominator 100: multiply the top and the bottom by 25. 1/4 = 25/100.
   3. 25/100 is 25 hundredths, which is 0.25.
   4. So 1/4 = 0.25.

   Answer: 0.25

2. Example 2

   Write 3 7/50 as a decimal.

   1. The whole number 3 stays in front of the decimal point. Change the fraction part, 7/50, to a decimal.
   2. Make the denominator 100: multiply the top and the bottom by 2. 7/50 = 14/100.
   3. 14/100 is 14 hundredths, which is 0.14.
   4. 3 + 0.14 = 3.14, so 3 7/50 = 3.14.

   Answer: 3.14

3. Example 3

   Write 1/8 as a decimal.

   1. A fraction means division: 1/8 = 1 ÷ 8.
   2. Make the denominator 1000: multiply the top and the bottom by 125. 1/8 = 125/1000.
   3. 125/1000 is 125 thousandths, which is 0.125.
   4. So 1/8 = 0.125.

   Answer: 0.125