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Improper Fractions to Mixed Numbers

Convert fifteen improper fractions to mixed numbers, connecting division with the whole-number and fractional parts.
Pages
1
File type
PDF

Updated Jul 25, 2021

Subject
Fractions, Numbers, Maths
Resource types
Worksheets, Worksheets & Printables
England expectations
Official curriculum expectation · Fractions (including decimals and percentages)

From the author

About this resource

This worksheet gives pupils a set of improper fractions to convert into mixed numbers. The varied numerators and denominators provide practice interpreting both the quotient and the remainder. Model one conversion with a division statement, then ask pupils to check an answer by converting it back to an improper fraction.

Curriculum reference — England: Ontario Grade 5 equivalent representations and England Year 5 mixed/improper conversion both match; limited to supplied items. Selected skills only; reference stage is not an overall reading age, complete curriculum coverage, or an automatic recommendation for every learner.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Convert improper fractions into mixed numbers
  • Interpret quotient and remainder in fraction form
  • Preserve the original denominator in the fractional part

Teaching tips

  • Write the division statement beside an early item to show where each mixed-number part comes from.
  • Multiply the whole number back and add the numerator remainder to check equivalence.

Skills covered

  • Division interpretation — use the quotient as the whole number and remainder as the fractional numerator.

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National Curriculum in England

National Curriculum in England expectations

England expectations

  • Official curriculum expectation · Fractions (including decimals and percentages) — recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, [Fraction:2/5]+[Fraction:4/5] = [Fraction:6/5] = 1 [Fraction:1/5] ]

Core concepts

  • Mixed numbers
  • Improper fractions
  • Division

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