DeeepSolve Logo
DeeepSolve
Get app

JAMB 2023 Mathematics · Question 19

Evaluate 58−34÷512× 14\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} \times \frac{1}{4}

Options

  1. A.- 340\frac{3}{40}
  2. B.340\frac{3}{40}
  3. C.740\frac{7}{40}
  4. D.-26340\frac{263}{40}

Answer: C. 740\frac{7}{40}

Explanation written with AI and checked against the answer key

Analyze the question: We have subtraction, division and multiplication. By BODMAS, division and multiplication come before subtraction, and between them we work left to right. Step 1: Division first (left to right) 3/4 ÷ 5/12 = 3/4 × 12/5 = 36/20 = 9/5 Step 2: Then multiplication 9/5 × 1/4 = 9/20 Step 3: Subtraction 5/8 − 9/20 The LCM of 8 and 20 is 40: 5/8 = 25/40 and 9/20 = 18/40 25/40 − 18/40 = 7/40 Check on the other options: If you subtracted first, you would get a different value, so the order of operations matters here. Options A and B (±3/40) do not come out of the correct order of working. Tip: In BODMAS, division and multiplication have equal rank, so go left to right. When dividing by a fraction, flip it and multiply. Find the LCM only at the final subtraction step to keep the numbers small.

AI can make mistakes. Report anything that looks wrong.

Practise similar questionsGet step-by-step help on DeeepSolve

Past questions © the examination body (JAMB/WAEC/NECO). DeeepSolve is not affiliated with them. Rights holders: see /copyright.