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

Question

Solve the following exercise:

15+215= \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

1×35×3+2×115×1=315+215 \frac{1\times3}{5\times3}+\frac{2\times1}{15\times1}=\frac{3}{15}+\frac{2}{15}

Now we'll combine and get:

3+215=515 \frac{3+2}{15}=\frac{5}{15}

Answer

515 \frac{5}{15}