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GCSE Maths resources

Order of operations - BIDMAS - With fractions

Article Index
Order of operations - BIDMAS
(i) - Simple examples
(ii) - Including brackets
(iii) - With fractions
(iv) - Inserting brackets
ANSWERS
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Question 3

Evaluate the following taking care to follow the BIDMAS rules.


(a) \( \frac{12 - 3 \times 2}{18 - 2 \times 8}\) (b) \( \frac{5^2 - 7 \times 3}{3^2 - 5}\) (c) \( \frac{20 - 3 \times 5}{2^3 - 3}\)

(d) \( \frac{5 \times 3^2}{3 \times 5}\) (e) \( \frac{4^2 - 2^2}{3 \times 2}\) (f) \( \frac{25 - 2^2 \times 3}{3^2 - 5}\)

(g) \( \frac{4 \times 8 - 4^2}{2^3 \times 3 + 8}\) (h) \( \frac{6^2 - 2^3}{3 + 2^2}\) (i) \( \frac{(6^2 - 3^3) \times 4}{2 \times 3^2}\)

(j) \( \frac{34 - 5 \times 6}{22 - 10 \times 2}\) (k) \( \frac{3 \times 5^2 - 4^3 + 37}{32 - 5 \times 4}\) (l) \( \frac{40 - (100 - 8^2)}{36 + 2 \times (6 - 4^2)}\)