Students apply their understanding of fraction multiplication to solve real-world problems involving a fraction times a whole number, such as finding a fractional part of a group or a measurement. Students interpret and explain answers in context.
Real questions from this skill, graded here. No account, and nothing is saved.
Solve Real-World Problems Multiplying a Fraction by a Whole Number
Grade 5 · Multiplying Fractions in Real-World Problems · question 1 of 3
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20 rungs. A star at the top.
There are 4 cups of milk. Sam uses 1/2 of the milk. How many cups does Sam use?
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A fraction of a quantity is that fraction times the whole.
The denominator stays; the top is scaled.
3/4 of 12 means 12 split into 4 equal groups of 3, and 3 of those groups taken: 9. So 3/4 × 12 = 9.
The denominator says how many equal groups the amount is split into.
The numerator says how many of those groups you take.
So 3/4 of 12 is two moves: 12 ÷ 4 = 3, and 3 × 3 = 9.
To find a fraction of an amount, divide by the denominator, then multiply by the numerator.
Splitting the 12 into 3 groups instead of 4.
The denominator, 4, says how many groups: 12 ÷ 4 = 3 in each, and 3 groups make 9.
A box holds 25 crayons. Theo uses 4/5 of them. How many crayons does Theo use? — 20. Split 25 into 5 equal groups of 5, then take 4 of them: 20.
Maya has twelve stickers. She gives two-thirds of them to her friend. How many stickers did she give?
To find the answer, we need two-thirds of twelve.
First, let's split the twelve stickers into three equal groups.
Twelve divided by three is four — so each group has four stickers.
Two-thirds means we take two of those three groups.
Four plus four equals eight stickers.
In numbers, two-thirds times twelve equals eight.
Maya gave her friend eight stickers. Nice work!
While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.
A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.
An example student.
Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.
An example week.
14 days of every skill, practice packets, Fluency sheets and up to four students. No card.