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Fractions as numbers

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Tutor: Kat

Summary

Fractions as numbers

In a nutshell

A fraction is a part of a whole number and a way to split a number up into equal parts.  Fractions can be read in different ways:


  • As a division of two numbers: numerator divided by denominator. For example3÷4=343 \div 4 = \dfrac{3}{4}
  • As a part of a unit or whole number: For example,  11 brownie from a tray of 66 brownies 16-\dfrac{1}{6}​​


Notation

Maths; Fractions; KS2 Year 3; Fractions as numbers


Example 1

A pizza is cut into 66​ equal pieces.

Maths; Fractions; KS2 Year 3; Fractions as numbers

A piece: 16\frac{1}{6}

Two pieces: 26\frac{2}{6}

All six pieces: 66\underline{\dfrac{6}{6}}


Example 2

A set of counters has 25 pieces.

Maths; Fractions; KS2 Year 3; Fractions as numbers


One counter: 125\dfrac{1}{25}


Three rows of counters: 1525\dfrac{15}{25}



Fractions as words

You can write fractions both in number and word form.  Below are the word forms of fractions from one whole to one tenth.


Whole
11​​
Half
12\dfrac{1}{2}​​
Third
13\dfrac{1}{3}​​
Quarter
14\dfrac{1}{4}​​
Fifth
15\dfrac{1}{5}​​
Sixth
16\dfrac{1}{6}​​
Seventh
17\dfrac{1}{7}​​
Eighth
18\dfrac{1}{8}​​
Ninth
19\dfrac{1}{9}​​
Tenth
110\dfrac{1}{10}​​



Writing fractions

Procedure

  1. ​Determine how many equal parts there are in total. Write this number as the denominator.
  2. Count the number of equal parts that are highlighted. Write this number as the numerator.

Example 3

Tina takes three bottles of water from the set of bottles below.

Maths; Fractions; KS2 Year 3; Fractions as numbers


Number of parts there are in total:      

55​​


Number of parts Tina took:

33​​


Tina's fraction of the total:

35\underline{\dfrac{3}{5}}​​

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Exercises

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FAQs - Frequently Asked Questions

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