Solve the Fraction Addition: 1/5 + 2/3 Step-by-Step

Solve the following exercise:

$\frac{1}{5}+\frac{2}{3}=\text{?}$

Video Solution

Solution Steps

00:00 Solve

00:03 Multiply each fraction by the second denominator to find a common denominator

00:09 Remember to multiply both numerator and denominator

00:22 Calculate the multiplications

00:33 Add under common denominator

00:37 Calculate the numerator

00:40 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding two fractions, follow these steps:

Step 1: Identify the fractions involved: $\frac{1}{5}$ and $\frac{2}{3}$ .
Step 2: Find a common denominator. Multiply the denominators: $5 \times 3 = 15$ .
Step 3: Convert each fraction to have the common denominator of 15:

Convert $\frac{1}{5}$ by multiplying both numerator and denominator by 3: $\frac{1}{5} \times \frac{3}{3} = \frac{3}{15}$
Convert $\frac{2}{3}$ by multiplying both numerator and denominator by 5: $\frac{2}{3} \times \frac{5}{5} = \frac{10}{15}$

Step 4: Add the converted fractions: $\frac{3}{15} + \frac{10}{15} = \frac{13}{15}$

Therefore, the sum of $\frac{1}{5} + \frac{2}{3}$ is $\frac{13}{15}$ .