Work out the following, giving each answer as a fraction - OCR - GCSE Maths - Question 7 - 2019 - Paper 1
Question 7
Work out the following, giving each answer as a fraction.
(a) $\frac{1}{4} + \frac{1}{2}$
(b) $\frac{3}{8} \div 2$
(c) $\frac{1}{3} \times \frac{1}{2}$
Worked Solution & Example Answer:Work out the following, giving each answer as a fraction - OCR - GCSE Maths - Question 7 - 2019 - Paper 1
Step 1
(a) $\frac{1}{4} + \frac{1}{2}$
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Answer
To add the fractions 41 and 21, we need a common denominator. The least common multiple of 4 and 2 is 4.
Convert 21 to have a denominator of 4: 21=42.
Now we can add: 41+42=43.
Step 2
(b) $\frac{3}{8} \div 2$
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Answer
Dividing by 2 is the same as multiplying by 21.
Therefore: 83÷2=83×21=8×23×1=163.
Step 3
(c) $\frac{1}{3} \times \frac{1}{2}$
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Answer
To multiply the fractions 31 and 21, multiply the numerators and the denominators: 3×21×1=61.
