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

Question

Solve the following exercise:

12+310= \frac{1}{2}+\frac{3}{10}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply the fraction by 5 to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:13 Calculate the multiplications
00:19 Add with the common denominator
00:24 Calculate the numerator
00:28 And this is the solution to the question

Step-by-Step Solution

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

To find the least 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+3×110×1=510+310 \frac{1\times5}{2\times5}+\frac{3\times1}{10\times1}=\frac{5}{10}+\frac{3}{10}

Now we'll combine and get:

5+310=810 \frac{5+3}{10}=\frac{8}{10}

Answer

810 \frac{8}{10}