Add and subtract fractions with like denominators

Learning Objectives Identify fractions with like denominators. Add two or more fractions with like denominators. Subtract two or more fractions with like denominators. Simplify sums and differences of fractions to their simplest form. Solve problems involving addition and subtraction of mixed numbers with like denominators. Apply fraction operations to real-world scenarios. Ever shared a pizza 🍕 and wondered how much was left after your friend ate a slice? Understanding fractions helps you keep track of parts of a whole! In this lesson, you'll learn how to combine and separate parts of a whole when those parts are the same size. This skill is fundamental for more complex math and everyday problem-solving, especially when dealing with rational numbers. Real-World Appl...

TermDefinitionExample FractionA number representing a part of a whole or a collection, written as a ratio of two integers.$\frac{3}{4}$ represents 3 out of 4 equal parts. NumeratorThe top number in a fraction, indicating how many parts are being considered.In $\frac{3}{4}$, the numerator is 3. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In $\frac{3}{4}$, the denominator is 4. Like DenominatorsFractions that have the same denominator.$\frac{1}{5}$ and $\frac{3}{5}$ are fractions with like denominators. Simplest Form (or Reduced Form)A fraction where the numerator and denominator have no common factors other than 1.$\frac{2}{4}$ simplifies to $\frac{1}{2}$. Mixed NumberA number consisting of a whole number and a proper fra...

Adding Fractions with Like Denominators $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$ To add fractions that have the same denominator, you add their numerators and keep the denominator the same. The denominator represents the size of the parts, which doesn't change when you combine them. Subtracting Fractions with Like Denominators $\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}$ To subtract fractions that have the same denominator, you subtract their numerators and keep the denominator the same. Similar to addition, the size of the parts (denominator) remains constant.