Divide fractions

Learning Objectives Define and identify the reciprocal of a fraction. Convert division of fractions problems into multiplication problems using the reciprocal. Accurately divide proper and improper fractions. Divide mixed numbers by first converting them to improper fractions. Simplify fractional answers to their lowest terms. Solve real-world word problems involving the division of fractions. Ever wondered how many half-cup servings you can get from a 3/4 cup of yogurt? 🤔 Dividing fractions helps us answer questions like these! In this lesson, you'll learn the essential steps to divide fractions, including how to handle mixed numbers and simplify your answers. Understanding fraction division is a key skill that builds on your knowledge of multiplication and prepares...

TermDefinitionExample FractionA number representing a part of a whole, expressed as a ratio of two integers, 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. 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. Reciprocal (Multiplicative Inverse)The reciprocal of a fraction is found by flipping the numerator and the denominator. When a number is multiplied by its reciprocal, the product is always 1.The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$. The reciprocal of 5 (or $\frac{5}{1}$) is $\frac{1}{...

Rule for Finding the Reciprocal If a fraction is $\frac{a}{b}$, its reciprocal is $\frac{b}{a}$. For a whole number $n$, its reciprocal is $\frac{1}{n}$. To find the reciprocal, simply flip the numerator and the denominator. This is a crucial first step when dividing fractions. Rule for Dividing Fractions (Keep, Change, Flip) $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ To divide one fraction by another: 1. KEEP the first fraction as it is. 2. CHANGE the division sign to a multiplication sign. 3. FLIP (find the reciprocal of) the second fraction. Then, multiply the fractions as usual. Rule for Converting Mixed Numbers to Improper Fractions $A\frac{b}{c} = \frac{(A \times c) + b}{c}$ When dividing with mixed numbers, always convert them to improper...