Advanced Mathematics Primary 4 Fractions

Siti jogs at East Coast Park. On Monday she runs 2 3/4 km and on Tuesday she runs 1 1/2 km. What is her total distance for the two days, expressed as an improper fraction?

A 17/4
B 9/4
C 13/4
D 15/4
Show Worked Solution

Worked Solution

Step 1: Find a common denominator for the two distances. LCD of 4 and 2 is 4. Convert 1 1/2 → 1 2/4. Step 2: Add the mixed numbers. 2 3/4 + 1 2/4 = 3 5/4 Step 3: Regroup (since 5/4 > 1). 5/4 = 1 1/4, so 3 + 1 1/4 = 4 1/4 Step 4: Convert to an improper fraction. 4 1/4 = (4 × 4 + 1)/4 = 17/4 Siti's total distance = 17/4 km.

Correct answer: 17/4

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