Equivalent Fractions What do you multiply the denominator by to reach 21? 3 “What you do to the bottom you do to the top!”
Practise
Fractions of an amount Divide by the denominator. Multiply by the numerator.
Fractions of an amount This actually says 5/6 of 540. Divide by the denominator. Multiply by the numerator.
Fractions of an amount Multiply whole numbers 1 x 10 = 10 Multiply numerator with 10 Don’t multiply the denominator. 3 x 10 = 30 Change 30/4 into a mixed number. 7 2/4 = 7 ½ 10 + 7 ½ = 17 ½
Practise
Adding Fractions • Add the numerators if the denominators are the same. • If the denominators are different, find the lowest common multiple. • Multiply the numerator with the same value that you multiplied the denominator. • Then add the numerators.
Adding Mixed Numbers
Practise
Practise
Subtracting Fractions Subtract the numerator. 3/8 – 4/12 If the denominators are different: 1. Find the lowest common multiple. 2. Multiply the numerator with the same value that you multiplied the denominator. 3. Subtract the numerators.
Subtracting Fractions Turn the 1 1/7 into an improper fraction. Then complete the subtraction.
Subtracting Fractions Subtract the whole first before the fractions. Find the LCM for the denominators. 21 Multiply the numerators by the same number that you multiplied the denominators. 3 x 7 = 21 so 2 x 7 = 14 7 x 3 = 21 so 6 x 3 = 18 314/21 – 18/21 To complete the subtraction you need to convert one of the wholes into a fraction. 2 35/21 – 18/21 = 2 17/21
Practise
Practise
Multiplying Fractions Multiply the numerator. Multiply the denominator.
Practise You can make up your own to practise!
Dividing Fractions Multiply your whole number with the denominator. The numerator remains the same.