1.4.2

Mixed & Improper Fractions

Test yourself

Mixed Numbers and Improper Fractions

Mixed numbers and improper fractions are both greater than 1.

Improper fractions

• An improper fraction has a numerator (top number) which is larger than the denominator (bottom number).
• E.g. 9 is larger than 7, so $\frac{9}{7}$ is an improper fraction.

Mixed numbers

• A mixed number contains both a whole number (an integer) and a normal fraction.

Improper fraction to mixed number

• What is $\frac{26}{9}$ written as a mixed number?

Improper fraction to mixed number

• First work out how many times the denominator will go into the numerator.
• 9 goes into 26 two times - this is the whole number part.

Improper fraction to mixed number

• The remainder is 26 − 18 = 8.
• So the fraction part is $\frac{8}{9}$.

Mixed number to improper fraction

• What is 3$\frac{2}{5}$ written as an improper fraction?

Mixed number to improper fraction

• Multiply the whole number by the denominator.
• Add this amount to the numerator.