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Multiplying fractions and mixed numbers

Multiplying fractions and mixed numbers

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Tutor: Toby

Summary

Multiplying fractions and mixed numbers

In a nutshell

Fractions and mixed numbers can be multiplied by whole numbers.  


Example 1

At a restaurant three people choose pizza from the menu.  Each person eats 34\frac{3}{4} of a pizza.  How much pizza do they eat altogether?


Maths; Fractions; KS2 Year 5; Multiplying fractions and mixed numbers
Maths; Fractions; KS2 Year 5; Multiplying fractions and mixed numbers
Maths; Fractions; KS2 Year 5; Multiplying fractions and mixed numbers


Three lots of three quarters totals nine quarters.

34×3=94\frac{3}{4}\times3 = \underline{\frac{9}{4}}​​



Multiplying fractions by whole numbers

procedure

1.
Multiply the numerator of the fraction by the whole number.
Note: The denominator does not change.
2.
Simplify the fraction if possible.


Example 2

Multiply 312\frac{3}{12} by 33.  Give your answer as a fraction in its simplest form.


Multiply the numerator of the fraction by the whole number:

3×312=912\frac{3\times3}{12} = \frac{9}{12}​​


Simplify the fraction:

9÷312÷3=34\frac{9\div3}{12\div3}=\underline{\frac{3}{4}}​​



Multiplying mixed numbers by whole numbers

procedure

1.
Convert the mixed number into an improper fraction.
2.
Multiply the numerator of the fraction by the whole number.
3.
Convert the answer to Step 2 back into a mixed number.
4.
Simplify the fraction if possible.


Example 3

Multiply 2142\frac{1}{4}  by 44.  Give your answer as a mixed number in its simplest form.


Convert the mixed number into an improper fraction:

214=2×4+14=942\frac{1}{4} = \frac{2\times4+1}{4} = \frac{9}{4}​​


Multiply the numerator of the fraction by the whole number:

94×4=364\frac{9}{4}\times4=\frac{36}{4}​​


Convert the fraction back into a mixed number:

36÷4=936\div4=\underline{9}​​


Note:  This question has no remainder, so the answer is a whole number with no fraction part.

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FAQs - Frequently Asked Questions

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