Equivalent fractions

Learning Objectives Define equivalent fractions and explain their significance. Generate equivalent fractions by multiplying the numerator and denominator by the same non-zero number. Generate equivalent fractions by dividing the numerator and denominator by a common factor. Simplify fractions to their simplest form using common factors. Identify whether two given fractions are equivalent using various methods. Apply the concept of equivalent fractions to compare and order fractions. Have you ever shared a pizza and wondered if getting 1/2 is the same as getting 2/4 of it? 🍕 Let's discover how different-looking fractions can represent the exact same amount! In this lesson, you'll learn all about equivalent fractions – fractions that have the same value, even if t...

TermDefinitionExample FractionA number that represents a part of a whole. 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 are looking at 2 out of 5 equal parts. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In $\frac{1}{3}$, the denominator is 3, meaning the whole is divided into 3 equal parts. Equivalent FractionsFractions that represent the same value or proportion of a whole, even though they have different numerators and denominators.$\frac{1}{2}$ and $\frac{2}{4}$ are equivalent fractions because t...

Generating Equivalent Fractions (Multiplication) To find an equivalent fraction, multiply both the numerator and the denominator by the same non-zero whole number: $\frac{a}{b} = \frac{a \times c}{b \times c}$ (where $c \neq 0$) This rule allows you to create a fraction with larger numbers that still represents the same value as the original fraction. It's useful when you need a common denominator for comparing or adding fractions. Generating Equivalent Fractions (Division / Simplifying) To find an equivalent fraction or simplify a fraction, divide both the numerator and the denominator by the same common factor (other than 1): $\frac{a}{b} = \frac{a \div c}{b \div c}$ (where $c$ is a common factor of $a$ and $b$, and $c \neq 0$) This rule helps reduce a fraction to its...