Lemmara logoLemmaraWorked solution

4MA1/1F Nov 2021, Question 10: Multiplication and Division of Fractions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Show two fraction calculations: dividing 3/10 by 1/4, and subtracting 3/4 from 5/6, giving stated results.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Show that dividing 3/10 by 1/4 gives 6/5.

  1. 1Dividing by a fraction is the same as multiplying by its reciprocal, so turn 1/4 upside down and multiply.
  2. 23/10 ÷ 1/4 = 3/10 × 4/1
  3. 33/10 × 4/1 = (3 × 4)/(10 × 1) = 12/10
  4. 4Divide the numerator and the denominator by 2: 12/10 = 6/5
  5. 5So 3/10 ÷ 1/4 = 6/5

Answer3/10 ÷ 1/4 = 3/10 × 4/1 = 12/10 = 6/5

Part (b) · 2 marks

Show that subtracting 3/4 from 5/6 gives 1/12.

  1. 1The lowest common denominator of 6 and 4 is 12.
  2. 25/6 = 10/12 and 3/4 = 9/12
  3. 310/12 − 9/12 = 1/12
  4. 4So 5/6 − 3/4 = 1/12

Answer5/6 − 3/4 = 10/12 − 9/12 = 1/12

Stuck on a step? Read the free lesson: Multiplication and Division of Fractions

Practise more multiplication and division of fractions questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on multiplication and division of fractions

Also searched as: 4MA1 1F November 2021 · 4MA1/1F · 4ma1 nov21 1f · question 10.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.