Add 3 or more fractions with like and unlike denominators: word problems

Learning Objectives Identify the fractions and the operation needed in word problems involving three or more fractions. Determine if three or more fractions have like or unlike denominators. Find the least common multiple (LCM) for three or more unlike denominators. Convert three or more fractions to equivalent fractions with a common denominator. Accurately add three or more fractions with both like and unlike denominators. Simplify the sum of three or more fractions to its simplest form. Solve real-world word problems by adding three or more fractions. Have you ever tried to combine ingredients for a recipe or measure distances on a map? 🗺️ Sometimes, you need to add up several parts to find a total! In this lesson, you'll learn how to tackle word problems that ask...

TermDefinitionExample FractionA number that represents a part of a whole. It has a numerator (top number) and a denominator (bottom number).In the fraction $\frac{3}{4}$, 3 is the numerator and 4 is the denominator. NumeratorThe top number in a fraction that tells you how many parts of the whole you have.If you eat 2 slices out of a pizza cut into 8 slices, the numerator is 2 ($\frac{2}{8}$). DenominatorThe bottom number in a fraction that tells you the total number of equal parts the whole is divided into.If a cake is cut into 6 equal pieces, the denominator is 6 ($\frac{1}{6}$). Like DenominatorsFractions that have the same denominator (the same bottom number).$\frac{1}{5}$, $\frac{2}{5}$, and $\frac{4}{5}$ all have like denominators. Unlike DenominatorsFractions that have different den...

Adding Fractions with Like Denominators $\frac{a}{c} + \frac{b}{c} + \frac{d}{c} = \frac{a+b+d}{c}$ When adding fractions that already have the same denominator, simply add the numerators together and keep the denominator the same. Always simplify your answer if possible. Adding Fractions with Unlike Denominators 1. Find the Least Common Multiple (LCM) of all denominators. 2. Convert each fraction to an equivalent fraction using the LCM as the new denominator. 3. Add the new numerators and keep the common denominator. 4. Simplify the sum. This rule is used when fractions have different denominators. You must make them 'like' before you can add them. The LCM helps you find the smallest common denominator. Simplifying Fractions Divide both the numerator and the...