Lemmara logoLemmaraWorked solution

4MA1/1F Jan 2020, Question 6: Mixed Numbers and Improper Fractions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Convert fractions to decimals and mixed numbers, and demonstrate a division of two fractions equals a given result.

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

Part (a) · 1 mark

Write 1/4 as a decimal.

  1. 11/4 means 1 ÷ 4
  2. 21 ÷ 4 = 0.25
  3. 31/4 = 0.25

Answer0.25

Part (b) · 2 marks

Write 34/10 as a mixed number in simplest form.

  1. 134 ÷ 10 = 3 remainder 4, so 34/10 = 3 4/10
  2. 24/10 = 2/5, dividing numerator and denominator by 2
  3. 334/10 = 3 2/5

Answer3 2/5

Part (c) · 2 marks

Show that 3/4 ÷ 15/16 = 4/5.

  1. 1Dividing by a fraction is the same as multiplying by its reciprocal.
  2. 23/4 ÷ 15/16 = 3/4 × 16/15
  3. 33/4 × 16/15 = (3 × 16)/(4 × 15) = 48/60
  4. 448/60 = 4/5 (dividing numerator and denominator by 12)
  5. 5So 3/4 ÷ 15/16 = 4/5

Answer3/4 ÷ 15/16 = 3/4 × 16/15 = 48/60 = 4/5

Stuck on a step? Read the free lesson: Mixed Numbers and Improper Fractions

Practise more mixed numbers and improper 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 mixed numbers and improper fractions

Also searched as: 4MA1 1F January 2020 · 4MA1/1F · 4ma1 jan20 1f · question 6.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.