Equivalent fractions

Learning Objectives Define equivalent fractions and explain their significance. Identify whether two given fractions are equivalent using various methods. Generate equivalent fractions by multiplying the numerator and denominator by the same non-zero number. Simplify fractions to their simplest form by dividing the numerator and denominator by their greatest common factor. Apply the concept of equivalent fractions to solve real-world problems. Use equivalent fractions to compare and order other fractions. Ever wonder if cutting a pizza into more slices changes how much pizza you actually have? 🍕 It might look like more pieces, but the total amount stays the same! In this lesson, you'll discover equivalent fractions – different ways to write the same amount or value....

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 $\frac{3}{4}$, 3 is the numerator and 4 is the denominator. NumeratorThe top number in a fraction, indicating how many parts of the whole are being considered.In $\frac{2}{5}$, the numerator is 2, meaning we have 2 out of 5 parts. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In $\frac{2}{5}$, the denominator is 5, meaning the whole is divided into 5 equal parts. Equivalent FractionsFractions that look different but represent the exact same value or amount. They occupy the same point on a number line.$\frac{1}{2}$ and $\frac{2}{4}$ are equivalent fractions becau...

Generating Equivalent Fractions (Multiplication) To find an equivalent fraction, multiply both the numerator and the denominator by the same non-zero whole number. This rule allows you to create a fraction with a larger denominator that still represents the same value as the original fraction. It's like cutting a pizza into more, smaller, equal slices. Generating Equivalent Fractions (Division / Simplifying) To find an equivalent fraction (or simplify a fraction), divide both the numerator and the denominator by the same non-zero common factor. This rule helps you reduce a fraction to its simplest form or find an equivalent fraction with a smaller denominator. You keep dividing until the only common factor between the numerator and denominator is 1. Testing for Equi...