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of a cake is shared equally among 4 children. What fraction of the whole cake does each child get?

Class 7Fractions and DecimalsFractions and Decimals
  • A
  • B
  • C
  • D

Step-by-Step Solution

. Multiplying by 4 instead of by its reciprocal gives , which is bigger than the whole cake; adding 4 to the denominator gives .
Answer: D)

Key idea: Adding and subtracting unlike fractions

Step 1: find the **LCM of the denominators**. Step 2: convert each fraction to an equivalent fraction with that LCM as the new denominator. Step 3: now the fractions are 'like' — add or subtract numerators, keep denominator.

Example: 1/3 + 1/4. LCM of 3 and 4 is 12. Convert: 1/3 = 4/12, 1/4 = 3/12. Add: 4/12 + 3/12 = 7/12.

The whole job is converting once you've picked the right common denominator.

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