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 means. Identify the first few multiples of a given fraction. Multiply a fraction by a whole number to find its multiples. Represent multiples of fractions using visual models. Solve word problems involving multiples of fractions. Explain the relationship between repeated addition and multiplying a fraction by a whole number. Have you ever shared a pizza and wondered how much pizza you'd have if you took 3 slices, and each slice was 1/8 of the whole pizza? 🍕 Let's find out how to count those fractional parts! In this lesson, you'll learn what multiples of fractions are and how to find them. Understanding this helps you combine fractional amounts, which is super useful in everyday situations like cooking...
2

Key Concepts & Vocabulary

TermDefinitionExample FractionA number representing a part of a whole or a part of a set.1/2 (one-half), 3/4 (three-fourths) NumeratorThe top number in a fraction, which tells you how many parts of the whole are being considered.In the fraction 3/5, '3' is the numerator. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In the fraction 3/5, '5' is the denominator. MultipleThe result of multiplying a number (or fraction) by a whole number.The multiples of 1/4 are 1/4, 2/4, 3/4, 4/4, and so on. ProductThe answer to a multiplication problem.The product of 2 and 1/3 is 2/3. Unit FractionA fraction where the numerator is 1, representing one part of a whole.1/6, 1/10, 1/2 Whole NumberA number without fractio...
3

Core Formulas

Finding Multiples of a Fraction by Repeated Addition To find the multiples of a fraction, you can repeatedly add the fraction to itself. This rule helps us understand that finding a multiple is like adding the same fractional amount multiple times. For example, the 3rd multiple of 1/4 is 1/4 + 1/4 + 1/4. Multiplying a Fraction by a Whole Number To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. $n \times \frac{a}{b} = \frac{n \times a}{b}$ (where 'n' is a whole number and 'a/b' is a fraction) This is the standard procedure for calculating multiples of fractions efficiently. The whole number 'n' tells you how many times to count the parts represented by the numer...

5 more steps in this tutorial

Sign up free to access the complete tutorial with worked examples and practice.

Sign Up Free to Continue

Sample Practice Questions

Challenging
A baker starts with a 6-cup bag of sugar. Her recipe for a batch of cookies requires 2/3 cup of sugar. If she makes 8 batches of cookies, how much sugar will be left in the bag?
A.2/3 cup
B.5 1/3 cups
C.16/3 cups
D.1/3 cup
Challenging
The first five multiples of a fraction are listed, but one is simplified: 2/7, 4/7, 6/7, 8/7, 1 3/7. What is the 5th multiple written as an improper fraction before it was converted?
A.7/7
B.10/7
C.5/7
D.10/35
Challenging
When you multiply a unit fraction, 1/b, by its own denominator, 'b' (where 'b' is a whole number not equal to zero), what is the product always equal to?
A.0
B.1
C.The fraction 1/b
D.The whole number 'b'

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Divide decimals

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.