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1 (a) Work out - OCR - GCSE Maths - Question 1 - 2019 - Paper 1
Question 1
1 (a) Work out. \[ \frac{3}{4} + \frac{1}{6} \] Give your answer in its simplest form.
Worked Solution & Example Answer:1 (a) Work out - OCR - GCSE Maths - Question 1 - 2019 - Paper 1
Step 1
Work out. \[ \frac{3}{4} + \frac{1}{6} \]
Answer
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:
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Convert ( \frac{3}{4} ) to have 12 as the denominator: [ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} ]
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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} ).