A mixed number is a whole number and a fraction combined.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Subtract a proper fraction from a mixed number crossing the whole

Maths

In this unit pupils will add mixed numbers They will subtract a proper fraction from a mixed number and subtract a mixed number from a mixed number explaining which strategy is most efficient In the future unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions They will multiply a proper fraction by a whole number

In the prior unit pupils expressed and converted a quantity from an improper fraction to a mixed number and explained how a mixed number was converted into an improper fraction. In this unit pupils will add mixed numbers. They will subtract a proper fraction from a mixed number and subtract a mixed number from a mixed number explaining which strategy is most efficient 

Efficient strategies for adding and subtracting mixed numbers (crossing a whole)

Use the number line to calculate 6 − $$ {3} \over {4}$$ =

Calculate this. $$5{{1} \over {4}}$$ − $$ {3} \over {4}$$ =

$$3{{1} \over {6}}$$ − $$ {3} \over {6}$$ 

$$2{{2} \over {6}}$$ − $$ {3} \over {6}$$

$$2{{1} \over {6}}$$ − $$ {4} \over {6}$$

$$4{{3} \over {6}}$$ − $$ {4} \over {6}$$

Andeep has three metres of rope. He cuts off six-tenths of a metre. There is two and {{ }} tenths metres left.

Izzy has four and two-tenth litres of water in a bucket. She uses six tenths of a litre to water some plants. How much water does she have left in her bucket?

Ten one-tenths is equivalent to {{ }} whole.

$$ {8} \over {10}$$ - $$ {6} \over {10}$$ = 

$$ {3} \over {4}$$ − $$ {1} \over {4}$$ 

$$ {3} \over {4}$$ − $$ {2} \over {4}$$

$$ {3} \over {5}$$ − $$ {2} \over {5}$$

$$ {4} \over {5}$$ − $$ {2} \over {5}$$

$$ {6} \over {8}$$ − $$ {4} \over {8}$$

Use the part-part-whole model to express $$ {15} \over {6}$$ as a mixed number.

Match the improper fractions to their equivalent mixed number.

Match the mixed number to their equivalent improper fraction.

This lesson will be removed by end of Summer Term 2025.

Subtract a proper fraction from a mixed number crossing the whole

Lesson outcome

This lesson will be removed by end of Summer Term 2025.