See what number divides exactly into both the numerator and denominator e.g. 152 x 34 COLUMN METHOD ÷4 152 e.g. 34x ÷4 608 (x4) ÷5 4560 (x30) e.g. 5168 ÷5 e.g. 152 x 34 GRID METHOD 5/6 Order of operations 100 50 2 30 3000 1500 60 Bracket 4 400 200 8 Indices Divide 152 x 34 = 3400 + 1700 + 68 = 5168 Multiply Add Subtract e.g. 0 1 0 3 152 e.g. 3 + 4 x 6 – 5 = 22 3 5 6 x 0 2 0 34 4 first 4 0 8 METHOD 5/7 Fraction of quantity with calculator 1 5 2 4 means ÷ 5 x 4 5 5 1 6 8 = 5168 e.g. To find 4 of £40 5 e.g. 152 x 34 RUSSIAN METHOD £40 ÷ 5 x 4 = £40 Half Double 5/7 Percentage of quantity with calculator 152 x 34 Change the percentage to a decimal 76 68 e.g. 8% of £240 12 ½ % of 80kg 38 136 = 0.08 x 240 = 0.125 x 80 19 272 = £19.20 = 10kg 9 544 4 1088 80% of 52 litres 2 2176 = 0.8 x 52 1 4352 = 41.6 litres 5/8 Multiply by a two digit number Add what is left 272 + 544 + 4352 = 5168 Try different methods to find which suits you
See what number divides exactly into both the numerator and denominator ÷4 e.g. ÷4 ÷5 e.g. ÷5 5/6 Order of operations Bracket Indices Divide Multiply Add Subtract 0 3 1 5 0 6 3 0 4 2 0 0 8 4 e.g. 3 + 4 x 6 – 5 = 22 first 5/7 Fraction of quantity with calculator 4 means ÷ 5 x 4 5 e.g. To find 4 of £40 5 £40 ÷ 5 x 4 = £40 5/7 Percentage of quantity with calculator Change the percentage to a decimal e.g. 8% of £240 12 ½ % of 80kg = 0.08 x 240 = 0.125 x 80 = £19.20 = 10kg 80% of 52 litres = 0.8 x 52 = 41.6 litres 5/8 Multiply by a two digit number Try different methods to find which suits you e.g. 152 x 34 COLUMN METHOD 152 34x 608 (x4) 4560 (x30) 5168 e.g. 152 x 34 GRID METHOD 100 50 2 30 3000 1500 60 4 400 200 8 152 x 34 = 3400 + 1700 + 68 = 5168 e.g. 152 x 34 METHOD 1 5 2 5 1 6 8 = 5168 e.g. 152 x 34 RUSSIAN METHOD Half Double 152 x 34 76 68 38 136 19 272 9 544 4 1088 2 2176 1 4352 Add what is left 272 + 544 + 4352 = 5168