Add, subtract, multiply, or divide two fractions

Learning Objectives Identify and find common denominators for fractions. Accurately add and subtract two fractions with both like and unlike denominators. Correctly multiply two fractions, including simplifying before or after multiplication. Confidently divide two fractions using the reciprocal method. Simplify fraction answers to their lowest terms. Solve real-world problems involving the addition, subtraction, multiplication, or division of fractions. Ever wondered how chefs adjust recipes or how engineers calculate material usage for a project? 🍰🛠️ Understanding fractions is key to these everyday tasks! In this lesson, you'll learn the essential rules for adding, subtracting, multiplying, and dividing fractions. Mastering these operations will not only boost your...

TermDefinitionExample FractionA number representing a part of a whole, expressed as a numerator (top number) over a denominator (bottom number).In the fraction $\frac{3}{4}$, 3 is the numerator and 4 is the denominator, meaning 3 out of 4 equal parts. NumeratorThe top number in a fraction, indicating how many parts of the whole are being considered.In $\frac{5}{8}$, the numerator is 5, meaning we have 5 parts. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In $\frac{5}{8}$, the denominator is 8, meaning the whole is divided into 8 equal parts. Common DenominatorA shared denominator for two or more fractions, necessary for adding or subtracting them. It is often the Least Common Multiple (LCM) of the original denominators.To...

Adding/Subtracting Fractions $\frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd}$ (after finding a common denominator) To add or subtract fractions, you must first find a common denominator. Convert each fraction to an equivalent fraction with this common denominator, then add or subtract their numerators. Keep the common denominator the same. Finally, simplify the result if possible. Multiplying Fractions $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Simplify the resulting fraction to its lowest terms. Dividing Fractions $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a \times d}{...