iGCSE Mathematics (0580) :E1.4 Use directed numbers in practical situations. iGCSE Style Questions Paper 2

Question

Without using a calculator, work out $1 \frac{5}{6} + \frac{2}{5}$.

You must show all your working and give your answer as a mixed number in its simplest form.

▶️ Answer/Explanation

Solution

$2\frac{7}{30}$

Convert $1\frac{5}{6}$ to improper fraction: $\frac{11}{6}$

Find common denominator (30): $\frac{55}{30} + \frac{12}{30} = \frac{67}{30}$

Convert to mixed number: $2\frac{7}{30}$

Question

Without using a calculator, work out $\frac{1}{3} + \frac{5}{6}$.

You must show all your working and give your answer as a mixed number in its simplest form.

▶️ Answer/Explanation

Solution

Ans: $1\frac{1}{6}$

Convert $\frac{1}{3}$ to $\frac{2}{6}$ to get common denominator.

$\frac{2}{6} + \frac{5}{6} = \frac{7}{6} = 1\frac{1}{6}$

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