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Mathematics·Fractions·procedural

Decimals and fractions (age 11+)

Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms

Suggested ages 11–13

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Evidence of understanding

  • Convert any terminating decimal to a fraction in simplest form
  • Convert any fraction with a denominator whose prime factors are only 2 and 5 to a terminating decimal
  • Explain why some fractions produce terminating decimals and others do not

Assessment prompt

If Decimals and fractions (age 11+) sees 0.375 on a calculator display, can they convert it to a fraction in its simplest form — without using the calculator?

Standards alignment

7.NS.2dUS · ccss-math

Convert a rational number to a decimal using long division

Common Core State Standards for Mathematics · 7

KS3.Maths.Num.9GB · uk-nc-2013

Terminating Decimals and Fractions

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3