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(a) Write $ rac{13}{3}$ as a mixed number - OCR - GCSE Maths - Question 7 - 2021 - Paper 1
Question 7
7
(a) Write $ rac{13}{3}$ as a mixed number.
(b) Work out.
(i) $1 + rac{4}{3} \times \frac{9}{3}$
(ii) $3 + \frac{1}{3}$
Worked Solution & Example Answer:7
(a) Write $ rac{13}{3}$ as a mixed number - OCR - GCSE Maths - Question 7 - 2021 - Paper 1
Write $ rac{13}{3}$ as a mixed number.
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To convert the improper fraction rac{13}{3} into a mixed number, divide the numerator by the denominator:
- Calculate the whole number part: 13÷3=4 remainder 1.
- Thus, the mixed number is 431.
Work out. (i) $1 + \frac{4}{3} \times \frac{9}{3}$
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- Calculate the multiplication:
[\frac{4}{3} \times \frac{9}{3} = \frac{36}{9} = 4.]
- Now add 1:
[1 + 4 = 5.]
The final answer is 5.
Work out. (ii) $3 + \frac{1}{3}$
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To add 3 and rac{1}{3}:
- Convert 3 to a fraction:
[3 = \frac{9}{3}.]
- Now add:
[\frac{9}{3} + \frac{1}{3} = \frac{10}{3} = 3 \frac{1}{3} \text{ (mixed number)}.]
The final answer is 310 or 331.
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