Adding Fractions: Solve 1/5 + 2/15 Step by Step

Solve the following exercise:

$\frac{1}{5}+\frac{2}{15}=$

Video Solution

Solution Steps

00:05 Let's solve this problem step by step.

00:08 First, we'll multiply the fraction by 3 to get a common denominator. This will help us add the fractions easily.

00:16 Remember, when we multiply a fraction, we need to multiply both the top number (numerator) and bottom number (denominator).

00:24 Now, let's carefully calculate these products.

00:28 Great! Now we can add the fractions since they have the same denominator.

00:34 Let's add the numbers in the numerator while keeping the same denominator.

00:38 And there we have it! We've successfully solved this problem by following each step carefully.

Step-by-Step Solution

Let's try to find the lowest common denominator between 5 and 15

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 15

In this case, the common denominator is 15

Now we'll multiply each fraction by the appropriate number to reach the denominator 15

We'll multiply the first fraction by 3

We'll multiply the second fraction by 1

$\frac{1\times3}{5\times3}+\frac{2\times1}{15\times1}=\frac{3}{15}+\frac{2}{15}$

Now we'll combine and get:

$\frac{3+2}{15}=\frac{5}{15}$