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14 Work out \[ \frac{2}{15} \times \frac{15}{22} \] Give your answer in its lowest terms. - OCR - GCSE Maths - Question 14 - 2017 - Paper 1
Question 14
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14 Work out \[ \frac{2}{15} \times \frac{15}{22} \] Give your answer in its lowest terms.
Worked Solution & Example Answer:14 Work out \[ \frac{2}{15} \times \frac{15}{22} \] Give your answer in its lowest terms. - OCR - GCSE Maths - Question 14 - 2017 - Paper 1
Step 1
Work out \( \frac{2}{15} \times \frac{15}{22} \)
Answer
To solve this multiplication of fractions, we multiply the numerators together and the denominators together:
[ \frac{2 \times 15}{15 \times 22} = \frac{30}{330} ]
Next, we simplify the fraction by finding the greatest common divisor (GCD) of 30 and 330, which is 30:
[ \frac{30 \div 30}{330 \div 30} = \frac{1}{11} ]
Thus, the final answer is ( \frac{1}{11} ).