Add and subtract fractions with like denominators: word problems

Learning Objectives Identify key information and operations required to solve word problems involving fractions. Translate real-world scenarios into mathematical expressions for adding or subtracting fractions with like denominators. Accurately perform addition and subtraction of fractions that share a common denominator. Simplify fractional answers to their simplest form. Interpret and state the final answer to a word problem in the context of the original problem, including appropriate units. Check the reasonableness of their fractional answers in the context of the problem. Ever wondered how much pizza is left after a party, or how much fabric you need for a project? 🍕 Fractions help us answer these everyday questions! In this lesson, you'll learn how to solve word...

TermDefinitionExample FractionA number representing a part of a whole or a part of a collection. It is written as a numerator over a denominator.In the fraction $\frac{3}{4}$, 3 is the part and 4 is the whole. NumeratorThe top number in a fraction, which indicates how many parts of the whole are being considered.In $\frac{2}{5}$, the numerator is 2, meaning we have 2 out of 5 equal parts. DenominatorThe bottom number in a fraction, which indicates the total number of equal parts the whole is divided into.In $\frac{7}{8}$, the denominator is 8, meaning the whole is divided into 8 equal parts. Like DenominatorsFractions that have the same denominator. This is crucial for direct addition and subtraction.$\frac{1}{3}$ and $\frac{2}{3}$ are fractions with like denominators (both have 3 as the...

Adding Fractions with Like Denominators $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$ To add fractions with the same denominator, add the numerators and keep the denominator the same. Always simplify the result if possible. Subtracting Fractions with Like Denominators $\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}$ To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. Always simplify the result if possible. Simplifying Fractions Divide both the numerator and the denominator by their greatest common factor (GCF) until the only common factor is 1. After performing addition or subtraction, always reduce the resulting fraction to its simplest form. If the numerator is larger than the denominator, convert it to a mixed numbe...