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.

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