Mathematics Grade 4 15 min

Fractions of a number

Fractions of a number

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1

Introduction & Learning Objectives

Learning Objectives Understand that the word 'of' means to multiply when working with fractions. Calculate the value of a unit fraction of a whole number (e.g., 1/4 of 20). Calculate the value of a non-unit fraction of a whole number (e.g., 3/4 of 20). Use a visual model, like a bar diagram, to represent and solve a 'fraction of a number' problem. Solve one-step word problems that require finding a fraction of a whole number. Explain the steps for finding a fraction of a number using division and multiplication. You have a bag with 12 delicious candies to share! 🍬 If you decide to give your friend 1/3 of them, how many candies does your friend get? In this lesson, we will learn a special math trick to find a part of a group, which is called finding a &#...
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Key Concepts & Vocabulary

TermDefinitionExample FractionA number that shows a part of a whole or a part of a group. It has a top number (numerator) and a bottom number (denominator).1/2 means one out of two equal parts. NumeratorThe top number in a fraction. It tells you how many parts you are talking about.In the fraction 3/4, the numerator is 3. DenominatorThe bottom number in a fraction. It tells you how many equal parts the whole is divided into.In the fraction 3/4, the denominator is 4. Whole NumberA number that represents a whole amount, without any fractional or decimal parts.The numbers 8, 15, and 100 are whole numbers. The word 'Of'In fraction problems, the word 'of' is a clue that tells you to multiply.Finding '1/2 of 10' is the same as calculating 1/2 × 10. Unit FractionA f...
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Core Formulas

The Main Rule: Divide, then Multiply (\text{Whole Number} \div \text{Denominator}) \times \text{Numerator} This is the most common way to find the fraction of a number. First, divide the whole number by the bottom number of the fraction. Then, take that answer and multiply it by the top number. The Alternative Rule: Multiply, then Divide (\text{Whole Number} \times \text{Numerator}) \div \text{Denominator} This rule also works and can be useful. First, multiply the whole number by the top number of the fraction. Then, take that answer and divide it by the bottom number.

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Sample Practice Questions

Challenging
Sara baked 24 cupcakes. She put sprinkles on 1/2 of them. Then, she put cherries on 1/3 of the cupcakes that already had sprinkles. How many cupcakes have both sprinkles and cherries?
A.12
B.8
C.6
D.4
Challenging
In a school club, 3/4 of the students is 18 students. How many students would be in 1/2 of the club?
A.9
B.24
C.36
D.12
Challenging
You are finding 5/8 of a whole number. You correctly do the first step (dividing the whole number by the denominator) and get an answer of 6. What is the final answer?
A.11
B.48
C.It's impossible to know without the original whole number.
D.30

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