Grade 4 Fractions: Equivalent Fractions

Worked examples

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

1. Example 1

   Write a fraction equivalent to 6/12

   1. Equivalent fractions name the same amount. Multiply (or divide) the top and bottom of 6/12 by the same number.
   2. The greatest number that divides both 6 and 12 is 6.
   3. Divide the top and bottom by 6: 6 ÷ 6 = 1 and 12 ÷ 6 = 2, so 6/12 = 1/2.
   4. So 6/12 = 1/2.

   Answer: 1/2

2. Example 2

   Write 3/10 as hundredths

   1. Equivalent fractions name the same amount. Multiply (or divide) the top and bottom of 3/10 by the same number.
   2. Multiply the top and bottom by 10: 3 × 10 = 30 and 10 × 10 = 100, so 3/10 = 30/100.
   3. So 3/10 = 30/100.

   Answer: 30/100

3. Example 3

   Write a fraction equivalent to 4/12

   1. Equivalent fractions name the same amount. Multiply (or divide) the top and bottom of 4/12 by the same number.
   2. The greatest number that divides both 4 and 12 is 4.
   3. Divide the top and bottom by 4: 4 ÷ 4 = 1 and 12 ÷ 4 = 3, so 4/12 = 1/3.
   4. So 4/12 = 1/3.

   Answer: 1/3