Lemmara logoLemmaraWorked solution

4MA1/1FR Jan 2023, Question 7: Converting Fractions to Decimals

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Four short tasks: order five decimals smallest first, convert 0.08 to a percentage, express 31/9 as a mixed number, and find the value midway between 7/25 and 0.88.

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

Part (a) · 1 mark

Arrange 0.5, 0.54, 0.45, 0.504 and 0.405 in ascending order, starting with the smallest.

  1. 1Compare decimals place by place: 0.405 < 0.45 < 0.5 < 0.504 < 0.54

Answer0.405, 0.45, 0.5, 0.504, 0.54

Part (b) · 1 mark

Convert the decimal 0.08 into a percentage.

  1. 10.08 × 100 = 8

Answer8

Part (c) · 1 mark

Write the improper fraction 31/9 as a mixed number.

  1. 131 ÷ 9 = 3 remainder 4
  2. 2So 31/9 = 3 4/9

Answer3 4/9

Part (d) · 2 marks

Find the number exactly halfway between the fraction 7/25 and the decimal 0.88.

  1. 17/25 = 0.28
  2. 20.28 + 0.88 = 1.16
  3. 31.16 ÷ 2 = 0.58

Answer0.58

Stuck on a step? Read the free lesson: Converting Fractions to Decimals

Practise more converting fractions to decimals 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 converting fractions to decimals

Also searched as: 4MA1 1FR January 2023 · 4MA1/1FR · 4ma1 jan23 1fr · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.