Add 3 or more fractions with unlike denominators

Learning Objectives Identify the denominators of three or more fractions. Find the Least Common Multiple (LCM) of three or more denominators. Convert fractions to equivalent fractions with a common denominator. Accurately add three or more fractions with unlike denominators. Simplify the sum of fractions to its lowest terms. Convert improper fraction sums to mixed numbers when appropriate. Ever tried to combine ingredients for a recipe, but the measurements were in different fractions? 🥣 It can be tricky, but understanding how to add fractions will make you a kitchen pro! In this lesson, you'll learn a super important skill: how to add three or more fractions that have different denominators. This skill is key for solving many real-world problems and building a strong...

TermDefinitionExample FractionA number that represents a part of a whole. It is written as a numerator over a denominator.In $\frac{3}{4}$, 3 is the numerator and 4 is the denominator. NumeratorThe top number in a fraction, which tells you how many parts of the whole you have.In the fraction $\frac{2}{5}$, the numerator is 2. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In the fraction $\frac{2}{5}$, the denominator is 5. Unlike DenominatorsWhen two or more fractions have different numbers in their denominators.$\frac{1}{2}$, $\frac{1}{3}$, and $\frac{1}{4}$ all have unlike denominators (2, 3, and 4). Least Common Multiple (LCM)The smallest positive number that is a multiple of two or more numbers. It's used to...

Finding the Least Common Denominator (LCD) To add fractions with unlike denominators, first find the Least Common Multiple (LCM) of all the denominators. This LCM will be your LCD. The LCD is the smallest common denominator that all fractions can be converted to, making it easier to add them. You find it by listing multiples or using prime factorization. Creating Equivalent Fractions To convert a fraction to an equivalent fraction with the LCD, multiply both the numerator and the denominator by the same number. If $\frac{a}{b}$ is the original fraction and $c$ is the factor needed to make $b$ equal the LCD, then $\frac{a}{b} = \frac{a \times c}{b \times c}$. This step ensures that all fractions have the same denominator without changing their value, preparing them for additi...