Find equivalent fractions using area models

Learning Objectives Define and identify equivalent fractions. Represent fractions using area models. Use area models to demonstrate why two fractions are equivalent. Generate equivalent fractions by partitioning an area model into smaller, equal parts. Explain the relationship between multiplying the numerator and denominator by the same number and partitioning an area model. Solve problems involving finding equivalent fractions using visual area models. Have you ever shared a pizza with friends, and someone said, 'I want half!' while another said, 'I want two-fourths!'? 🤔 Are they asking for the same amount? Let's find out! In this lesson, you'll discover what equivalent fractions are and how to use helpful pictures called area models to unde...

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 $\frac{1}{2}$, 1 is the numerator and 2 is the denominator. NumeratorThe top number in a fraction, which tells you how many parts of the whole you have or are considering.In $\frac{3}{4}$, the numerator is 3, meaning you have 3 out of 4 equal parts. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In $\frac{3}{4}$, the denominator is 4, meaning the whole is divided into 4 equal parts. Equivalent FractionsFractions that represent the same amount or the same part of a whole, even though they have different numerators and denominators.$\frac{1}{2}$ and $\frac{2}{...

Equivalent Fractions Principle (Multiplication) To find an equivalent fraction, you can multiply both the numerator and the denominator by the same non-zero whole number. This rule works because you are essentially multiplying the fraction by $\frac{n}{n}$, which is equal to 1. Multiplying by 1 does not change the value of the fraction, only its appearance. For example: $\frac{a}{b} = \frac{a \times n}{b \times n}$ where $n \neq 0$. Representing Fractions with Area Models To represent a fraction $\frac{a}{b}$ using an area model, draw a whole shape (like a rectangle). Divide the shape into $b$ equal parts. Then, shade $a$ of those equal parts. The total number of equal parts represents the denominator, and the number of shaded parts represents the numerator. The size of the...