Solve the Fraction Addition: 2/10 + 1/3 Step by Step

Question

Solve the following exercise:

210+13= \frac{2}{10}+\frac{1}{3}=

Video Solution

Solution Steps

00:06 Let's solve this problem together.
00:09 First, multiply each fraction by the second fraction's denominator to get a common denominator.
00:16 Remember, multiply both the top number, the numerator, and the bottom number, the denominator.
00:24 Now, do the multiplications carefully.
00:30 Add the fractions using your common denominator.
00:37 Finally, calculate the numerator.
00:41 Great job! That's how we solve this problem.

Step-by-Step Solution

Let's try to find the least common denominator between 10 and 3

To find the least common denominator, we need to find a number that is divisible by both 10 and 3

In this case, the common denominator is 30

Now we'll multiply each fraction by the appropriate number to reach the denominator 30

We'll multiply the first fraction by 3

We'll multiply the second fraction by 10

2×310×3+1×103×10=630+1030 \frac{2\times3}{10\times3}+\frac{1\times10}{3\times10}=\frac{6}{30}+\frac{10}{30}

Now we'll combine and get:

6+1030=1630 \frac{6+10}{30}=\frac{16}{30}

Answer

1630 \frac{16}{30}