Multiply two fractions

Learning Objectives Identify the numerator and denominator in any given fraction. Explain that 'of' in fraction contexts often means multiplication. Multiply two numerators together to find the new numerator. Multiply two denominators together to find the new denominator. Simplify the product of two fractions to its lowest terms. Solve real-world word problems involving the multiplication of two fractions. Ever wondered how to find a fraction of another fraction? 🤔 Imagine you have half a pizza left, and you want to eat half of *that* half! How much of the whole pizza did you eat? In this lesson, you'll discover a simple and powerful way to multiply two fractions. This skill is super useful for sharing, cooking, and understanding parts of parts, helping you...

TermDefinitionExample FractionA number that represents a part of a whole. It is written as one number (the numerator) over another number (the denominator), separated by a line.1/2 (one half), 3/4 (three quarters) NumeratorThe top number in a fraction, which tells you how many parts of the whole you are considering.In the fraction 2/3, '2' 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 2/3, '3' is the denominator. ProductThe answer you get when you multiply two or more numbers together.The product of 5 and 3 is 15. Simplify (Reduce)To write a fraction in its simplest form, where the numerator and denominator have no common factors other than 1. This means dividing b...

General Rule for Multiplying Fractions $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ To multiply two fractions, you multiply their numerators together to get the new numerator, and you multiply their denominators together to get the new denominator. Simplifying the Product $\frac{\text{new numerator}}{\text{new denominator}} \rightarrow \frac{\text{new numerator} \div \text{GCF}}{\text{new denominator} \div \text{GCF}}$ After you multiply the fractions, always check if the resulting fraction can be simplified to its lowest terms. Find the Greatest Common Factor (GCF) of the new numerator and denominator, then divide both by the GCF. "Of" Means Multiply $\text{Fraction 1 of Fraction 2} = \text{Fraction 1} \times \text{Fraction 2}$ When you...