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

Question

Solve the following exercise:

12+210= \frac{1}{2}+\frac{2}{10}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply this fraction by 5 to find the common denominator
00:09 Make sure to multiply both numerator and denominator
00:15 Let's calculate the multiplications
00:20 Let's multiply by the common denominator
00:23 Let's calculate the numerator
00:28 And this is the solution to the question

Step-by-Step Solution

Let's try to find the lowest common denominator between 2 and 10

To find the lowest common denominator, we need to find a number that is divisible by both 2 and 10

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 5

We'll multiply the second fraction by 1

1×52×5+2×110×1=510+210 \frac{1\times5}{2\times5}+\frac{2\times1}{10\times1}=\frac{5}{10}+\frac{2}{10}

Now we'll combine and get:

5+210=710 \frac{5+2}{10}=\frac{7}{10}

Answer

710 \frac{7}{10}