Grade 4 Fractions: Fractions and Decimals

Worked examples

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

1. Example 1

   Write 6/100 as a decimal

   1. 6/100 means 6 hundredths. Hundredths use two places after the decimal point.
   2. 6 hundredths is 0 tenths and 6 hundredths, so write .06.
   3. There are no wholes, so write 0 in front of the decimal point.
   4. So 6/100 = 0.06.

   Answer: 0.06

2. Example 2

   Write 0.04 as a fraction

   1. 0.04 has two digits after the decimal point, so it counts hundredths.
   2. 0.04 is 4 hundredths: the numerator is 4 and the denominator is 100.
   3. So 0.04 = 4/100.

   Answer: 4/100

3. Example 3

   Write 6/10 as hundredths

   1. Equivalent fractions name the same amount. Multiply (or divide) the top and bottom of 6/10 by the same number.
   2. Multiply the top and bottom by 10: 6 × 10 = 60 and 10 × 10 = 100, so 6/10 = 60/100.
   3. So 6/10 = 60/100.

   Answer: 60/100