Add fractions with like denominators using number lines

Learning Objectives Identify fractions with like denominators. Accurately represent fractions on a number line. Model the addition of two fractions with like denominators using a number line. Determine the sum of two fractions with like denominators by interpreting their representation on a number line. Connect the visual model of adding fractions on a number line to the symbolic addition rule. Solve simple word problems involving the addition of like fractions using number lines. Ever wonder how to combine parts of a whole in a visual way? Imagine sharing a pizza 🍕 and needing to figure out how much you and a friend ate together! In this lesson, you'll learn how to add fractions that share the same denominator by using a number line. This visual method will help you...

TermDefinitionExample FractionA number that represents a part of a whole or a part of a collection. It is written as a ratio of two integers, a numerator over a denominator.In the fraction $\frac{3}{4}$, 3 is the numerator and 4 is the denominator. NumeratorThe top number in a fraction, which tells you how many parts of the whole are being considered.In $\frac{2}{5}$, the numerator is 2, meaning we are considering 2 out of 5 equal parts. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In $\frac{2}{5}$, the denominator is 5, meaning the whole is divided into 5 equal parts. Like DenominatorsFractions that have the same denominator, meaning they refer to parts of a whole that are divided into the same number of equal piece...

Rule for Adding Fractions with Like Denominators $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$ When adding fractions that have the same denominator (c), you add only the numerators (a and b) and keep the denominator the same. This is because you are combining parts of the same size. Representing Fractions on a Number Line To represent a fraction $\frac{a}{c}$ on a number line, divide the unit interval (from 0 to 1, or between any two consecutive integers) into 'c' equal parts. Then, count 'a' of these parts from 0. The denominator 'c' tells you how many equal segments each whole unit is divided into. The numerator 'a' tells you how many of those segments to count from the starting point (usually 0). Adding Fractions Visually on a Num...