Mathematics
Grade 5
15 min
Multiples of fractions
Multiples of fractions
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define what a multiple of a fraction is.
Identify multiples of a given fraction.
Represent multiples of fractions using visual models.
Calculate multiples of fractions by multiplying a fraction by a whole number.
Solve word problems involving multiples of fractions.
Express multiples of fractions as mixed numbers or whole numbers when appropriate.
Have you ever needed to double a recipe, or give 3 friends each a slice of a pie? 🥧 How much pie would you need in total?
In this lesson, you'll learn how to find multiples of fractions. This skill is super useful for sharing, cooking, and understanding quantities in everyday life, helping you solve real-world problems involving parts of a whole.
Real-World Applications
Scaling recipes (e.g., doubling...
2
Key Concepts & Vocabulary
TermDefinitionExample
FractionA number that represents a part of a whole. It is written as a numerator over a denominator.1/2 (one-half), 3/4 (three-fourths)
MultipleThe result of multiplying a number by an integer (a whole number).Multiples of 3 are 3, 6, 9, 12...
Multiple of a FractionThe result of multiplying a fraction by a whole number. It's like having several copies of that fraction.Multiples of 1/3 are 1/3, 2/3, 3/3 (or 1), 4/3 (or 1 1/3)...
NumeratorThe top number in a fraction that tells you how many parts of the whole you have.In the fraction 3/5, the numerator is 3.
DenominatorThe bottom number in a fraction that tells you how many equal parts the whole is divided into.In the fraction 3/5, the denominator is 5.
Unit FractionA fraction where the numerator is 1. It represen...
3
Core Formulas
Finding Multiples of a Fraction
$$n \times \frac{a}{b} = \frac{n \times a}{b}$$
To find a multiple of a fraction, multiply the whole number (n) by the numerator (a) and keep the denominator (b) the same. This rule applies because you are counting 'n' groups of 'a' parts, where each part is of size 'b'.
Multiples of Unit Fractions
$$n \times \frac{1}{b} = \frac{n}{b}$$
When multiplying a unit fraction (a fraction with 1 as the numerator) by a whole number (n), the numerator becomes the whole number, and the denominator stays the same. This shows that 'n' multiples of '1/b' is simply 'n/b'.
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A gardener is building a fence with 8 sections. Each section requires a post that is 7/4 feet long. The gardener has a single piece of wood that is 15 feet long. Is the wood long enough to cut all 8 posts?
A.Yes, with exactly 1 foot of wood left over.
B.Yes, with exactly 2 feet of wood left over.
C.No, the gardener is short by 1 foot of wood.
D.No, the gardener needs exactly 14 feet of wood.
Challenging
If 'n' is a whole number greater than the denominator 'b', and 'a/b' is a proper fraction (a < b and a ≥ 1), what must be true about the product n × a/b?
A.The product will always be a proper fraction.
B.The product will always be greater than 1.
C.The product will always be a whole number.
D.The product will always be less than 1.
Challenging
After a party, there were 12/5 liters of soda left. This amount was the result of combining the leftovers from 4 identical bottles. What fraction of a liter was left in each bottle?
A.48/5 liters
B.8/5 liters
C.3/5 liters
D.12/20 liters
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free