Multiply fractions by whole numbers

Learning Objectives Represent a whole number as a fraction. Model the multiplication of a fraction by a whole number using visual aids. Apply the standard algorithm to multiply a fraction by a whole number. Simplify the product of a fraction and a whole number to its lowest terms. Convert improper fractions resulting from multiplication into mixed numbers. Solve real-world problems involving the multiplication of fractions by whole numbers. Have you ever needed to make multiple batches of your favorite cookie recipe, but each batch only calls for a fraction of an ingredient? 🍪 How do you figure out the total amount you need? In this lesson, you'll learn how to multiply fractions by whole numbers. This skill is super useful for scaling recipes, calculating quantities,...

TermDefinitionExample FractionA number that represents a part of a whole or a collection. It is written as a numerator over a denominator.In the fraction 3/4, three parts are being considered out of four equal parts that make up the whole. Whole NumberA number without fractions or decimals; it represents a complete quantity.The numbers 0, 1, 2, 3, 4, and so on, are whole numbers. NumeratorThe top number in a fraction, which tells you how many parts of the whole are being counted or considered.In the fraction 5/8, the numerator is 5. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In the fraction 5/8, the denominator is 8. ProductThe result obtained when two or more numbers are multiplied together.The product of 4 and 5...

Representing a Whole Number as a Fraction $$c = \frac{c}{1}$$ Any whole number 'c' can be written as a fraction by placing it over 1. This helps visualize multiplication as two fractions. Multiplying a Fraction by a Whole Number $$\frac{a}{b} \times c = \frac{a \times c}{b}$$ To multiply a fraction (a/b) by a whole number (c), multiply the numerator (a) by the whole number (c) and keep the denominator (b) the same. Simplifying Fractions $$\frac{N}{D} = \frac{N \div GCF}{D \div GCF}$$ After multiplying, always simplify the resulting fraction to its simplest form. Divide both the numerator (N) and the denominator (D) by their Greatest Common Factor (GCF).