1 (a) Work out - OCR - GCSE Maths - Question 1 - 2019 - Paper 1

To add the fractions ( \frac{3}{4} ) and ( \frac{1}{6} ), we need a common denominator.

The least common multiple (LCM) of 4 and 6 is 12.

Now, we convert each fraction:

1. Convert ( \frac{3}{4} ) to have 12 as the denominator: [ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} ]

2. Convert ( \frac{1}{6} ) to have 12 as the denominator: [ \frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12} ]

Now we can add the fractions:

[ \frac{9}{12} + \frac{2}{12} = \frac{9 + 2}{12} = \frac{11}{12} ]

Thus, the answer in its simplest form is ( \frac{11}{12} ).