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Worked Example 2: Converting Mixed to Improper

Part of Fractions Basics — GCSE Mathematics

This study notes covers Worked Example 2: Converting Mixed to Improper within Fractions Basics for GCSE Mathematics. Revise Fractions Basics in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 8 of 13 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 8 of 13

Practice

12 questions

Recall

22 flashcards

Worked Example 2: Converting Mixed to Improper

Convert 3⅝ to an improper fraction

Solution

Whole parts: 3 × 8 = 24 eighths

Plus the extra 5 eighths

24 + 5 = 29

Answer: 29/8

Quick method: (3×8 + 5)/8 = 29/8

Keep building this topic

Read this section alongside the surrounding pages in Fractions Basics. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 1: Simplifying a FractionWorked Example 3: Comparing FractionsParts of a WholeWhat Are Fractions?

Practice Questions for Fractions Basics

In the fraction 5/8, which number is the denominator?

  • A. 5
  • B. 8
  • C. 13 (5 + 8)
  • D. 40 (5 x 8)
1 markfoundation

Explain the difference between a proper fraction, an improper fraction and a mixed number. Give one example of each.

2 markshigher

Quick Recall Flashcards

Visualizing fractions
Pizza model: Whole divided into equal slices Bar model: Rectangle split into equal parts Number line: Fractions between 0 and 1 Always think: Parts out of a whole
Parts of a fraction
Numerator = top number (how many parts) Denominator = bottom number (total parts) Fraction bar = division line 3/4 means '3 out of 4 equal parts'

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Worked Example 1: Simplifying a Fraction

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Worked Example 3: Comparing Fractions