Work out \[\frac{2}{15} \times \frac{15}{22}\] Give your answer in its lowest terms. - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

To solve the multiplication of fractions, we multiply the numerators and denominators:

$\frac{2 \times 15}{15 \times 22}$

Here, the numerator becomes $2 \times 15 = 30$ and the denominator becomes $15 \times 22 = 330$:

$\frac{30}{330}$

Next, we simplify the fraction by finding the greatest common divisor (GCD) of 30 and 330. The GCD is 30, allowing the fraction to be simplified to:

$\frac{30 \div 30}{330 \div 30} = \frac{1}{11}$

Thus, the answer in its lowest terms is (\frac{1}{11}).