Commutative law states that you can write the values of a calculation in a different order without changing the calculation; the result is still the same. It applies for addition and multiplication.

Explain how to multiply two unit fractions

Maths

In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number. In the future unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.

 In the prior unit pupils used fraction sense to fraction addition, subtraction and comparison, explaining how to compare pairs of non-related fractions by converting to common denominators or using fraction sense. In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number. 

Multiplication and division of fractions

Which expressions could represent one-half of one-quarter?

$$ {1} \over {3}$$ × $$ {1} \over {4}$$ = $$ {1} \over {12}$$

$$ {1} \over {12}$$ × $$ {1} \over {4}$$ = $$ {1} \over {12}$$

$$ {1} \over {4}$$ × $$ {1} \over {3}$$ = $$ {1} \over {12}$$

$$ {1} \over {4}$$ + $$ {1} \over {3}$$ = $$ {1} \over {12}$$

Tick the equations that could represent this image.

To find the product of two unit fractions, you can _________.

Tick the product of $$ {1} \over {5}$$ × $$ {1} \over {2}$$

Tick the product of $$ {1} \over {6}$$ × $$ {1} \over {3}$$

What fraction of the whole has been shaded?

Tick the equations that exemplify the commutative law.

The large rectangle is the whole. What fraction of the whole has been shaded?

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