Mathematics Grade 6 15 min

Fractions of a number - unit fractions

Fractions of a number - unit fractions

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1

Introduction & Learning Objectives

Learning Objectives Define what a unit fraction is. Identify the whole and the denominator when finding a unit fraction of a number. Represent unit fractions of a number using simple visual models. Calculate a unit fraction of a whole number. Explain the relationship between division and finding a unit fraction of a number. Solve one-step word problems involving unit fractions of a number. Have you ever shared a pizza equally with friends? 🍕 How much of the pizza did each person get if there were 4 of you? In this lesson, you'll learn about a special type of fraction called a 'unit fraction' and how to find a unit fraction of any whole number. This skill is super useful for sharing things fairly, understanding parts of a whole, and solving everyday problems!...
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Key Concepts & Vocabulary

TermDefinitionExample FractionA number that represents a part of a whole. It is written as a numerator over a denominator.$ rac{3}{4}$ means 3 parts out of 4 equal parts. NumeratorThe top number in a fraction, which tells you how many parts of the whole are being considered.In $ rac{1}{5}$, the numerator is 1. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In $ rac{1}{8}$, the denominator is 8. Unit FractionA fraction where the numerator is always 1. It represents one single equal part of a whole.$ rac{1}{2}$, $ rac{1}{3}$, $ rac{1}{10}$ are all unit fractions. WholeThe entire quantity or amount being considered before it is divided into parts.If you have 12 cookies, the 'whole' is 12 cookies. PartA portion o...
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Core Formulas

Definition of a Unit Fraction A unit fraction is any fraction of the form $\frac{1}{n}$, where $n$ is a non-zero whole number. This rule defines what a unit fraction is. The '1' in the numerator signifies one part, and 'n' in the denominator signifies the total number of equal parts the whole is divided into. Finding a Unit Fraction of a Number To find $\frac{1}{n}$ of a number $X$, you divide the number $X$ by the denominator $n$. This rule provides the direct method for calculating a unit fraction of a whole number. The word 'of' in this context means to perform division (or multiplication by the fraction, which simplifies to division by the denominator for unit fractions). Formula for Unit Fraction of a Number $\frac{1}{n} \text{ of } X...

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Sample Practice Questions

Challenging
A group of students went on a field trip. 1/8 of the students, which was 5 students, forgot their lunch. How many total students were in the group?
A.8
B.35
C.40
D.45
Challenging
A farmer has 60 animals. 1/3 of the animals are cows and 1/4 of the animals are sheep. How many animals are neither cows nor sheep?
A.20
B.15
C.25
D.35
Challenging
After spending 1/5 of his money, John had $40 left. How much money did he have at the start?
A.$10
B.$48
C.$50
D.$200

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