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

Add mixed numbers crossing the whole

Subtract a mixed number from a mixed number

Choose efficient approaches when subtracting mixed numbers

Solve problems involving addition and subtraction of mixed numbers

In this unit pupils will add mixed numbers. They 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..

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 was made for home learning during the pandemic.

Subtract a proper fraction from a mixed number crossing the whole

Lesson outcome

This lesson was made for home learning during the pandemic.