wunder beta🍫 Fraction Multiplication Word Problems
Solve real-life problems where you multiply with fractions — finding a fraction of an amount and working out groups of a fraction.
What you’ll learn
- Of Means TimesRecognise that 'of' signals multiplication and find a fraction of an amount by multiplying.In word problems, the word 'of' usually means multiply. So 'one half of 8' means one half times 8. Finding a fraction of an amount is a multiplying problem: one third of 12 is 1/3 × 12, which is the same as 12 ÷ 3 = 4. This shows up whenever you halve a recipe or share a treat.
- Groups of a FractionMultiply a whole number by a fraction to solve problems about repeated fractional amounts.Multiplying with fractions also works when you have groups of a fraction. Four glasses each half full is 4 × 1/2 = 4/2 = 2 full glasses. Three batches each needing 1/4 cup of oil is 3 × 1/4 = 3/4 of a cup. Count the groups, multiply, and simplify the answer if it passes one whole.
Questions this course answers
In a word problem, the word 'of' often tells you to...
'Of' is a signal to multiply, so 'one half of 8' means one half times 8.
'One third of 12' can be written as...
'Of' means multiply, so one third of 12 is 1/3 × 12.
What is 1/4 of 12?
Multiplying by 1/4 is the same as dividing by 4: 12 ÷ 4 = 3.
You have 4 glasses, each 1/2 full. Altogether that is...
4 × 1/2 = 4/2, which is 2 whole glasses.
A recipe needs 1/4 cup of oil per batch. For 3 batches you need...
3 × 1/4 = 3/4, so you need three quarters of a cup.
Grounded in trusted sources
- Khan Academy
- BBC Bitesize — Maths
- NCTM
- Math is Fun
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