Multiply fractions by whole numbers: set 2

Learning Objectives Multiply a fraction by a whole number, expressing the whole number as a fraction. Simplify the product of a fraction and a whole number to its simplest form. Convert improper fractions resulting from multiplication into mixed numbers. Solve word problems involving the multiplication of fractions by whole numbers. Explain the process of multiplying a fraction by a whole number using visual models or repeated addition. Identify and correct common errors when multiplying fractions by whole numbers. Ever wondered how to figure out how much pizza is left if 3 friends each ate 1/4 of a pizza? 🍕 Or how much ribbon you need if you're making 5 bows, and each takes 2/3 of a yard? Let's find out! In this lesson, we'll build on our understanding of m...

TermDefinitionExample FractionA number that represents a part of a whole or a part of a collection. It is written as a numerator over a denominator.In the fraction 3/4, 3 is the numerator and 4 is the denominator. Whole NumberA number without fractions or decimals, including zero and positive counting numbers.5, 12, 100 are all whole numbers. NumeratorThe top number in a fraction, which tells how many parts are being considered.In 2/3, the numerator is 2. DenominatorThe bottom number in a fraction, which tells the total number of equal parts the whole is divided into.In 2/3, the denominator is 3. ProductThe result obtained when two or more numbers are multiplied together.The product of 3 and 4 is 12. Improper FractionA fraction where the numerator is greater than or equal to the denominat...

Multiplying a Fraction by a Whole Number $$ \text{Whole Number} \times \frac{\text{Numerator}}{\text{Denominator}} = \frac{\text{Whole Number} \times \text{Numerator}}{\text{Denominator}} $$ To multiply a fraction by a whole number, multiply the whole number by the numerator of the fraction. The denominator stays the same. You can think of the whole number as a fraction with a denominator of 1. Converting a Whole Number to a Fraction $$ \text{Whole Number} = \frac{\text{Whole Number}}{1} $$ Any whole number can be written as a fraction by placing it over a denominator of 1. This helps visualize the multiplication process. Converting an Improper Fraction to a Mixed Number $$ \frac{\text{Numerator}}{\text{Denominator}} = \text{Quotient} \frac{\text{Remainder}}{\text{Deno...