Foundation Mathematics Primary 4 Fractions

Amir ate 1/4 of a pizza and Nadia ate 1/3 of the same pizza. What fraction of the pizza did they eat altogether?

A 7/12
B 2/7
C 2/12
D 1/7
Show Worked Solution

Worked Solution

Step 1: The fractions 1/4 and 1/3 have different denominators (unlike fractions). Step 2: Find the lowest common denominator (LCD) of 4 and 3. Multiples of 4: 4, 8, 12, 16 ... Multiples of 3: 3, 6, 9, 12 ... LCD = 12 Step 3: Convert each fraction to an equivalent fraction with denominator 12. 1/4 = (1×3)/(4×3) = 3/12 1/3 = (1×4)/(3×4) = 4/12 Step 4: Add the like fractions. 3/12 + 4/12 = 7/12 Step 5: Check whether 7/12 can be simplified. 7 and 12 share no common factor other than 1, so 7/12 is already in its simplest form. Final answer: 7/12.

Correct answer: 7/12

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