Solve Fraction Addition: 1/4 + 2/6 Step-by-Step Solution

Question

Solve the following exercise:

$\frac{1}{4}+\frac{2}{6}=$

00:05 Let's solve this problem.

00:08 First, multiply each fraction by three and two so they share the same denominator.

00:13 Remember to multiply both the top number, that's the numerator, and the bottom number, called the denominator.

00:20 Now, let's calculate these multiplications.

00:27 Great! Add them together using the common denominator.

00:32 Next, find the sum of the numerators.

00:35 And that's the solution to our question!

Let's try to find the lowest common denominator between 4 and 6

To find the lowest common denominator, we need to find a number that is divisible by both 4 and 6

In this case, the common denominator is 12

Now we'll multiply each fraction by the appropriate number to reach the denominator 12

We'll multiply the first fraction by 3

We'll multiply the second fraction by 2

$\frac{1\times3}{4\times3}+\frac{2\times2}{6\times2}=\frac{3}{12}+\frac{4}{12}$

Now we'll combine and get:

$\frac{3+4}{12}=\frac{7}{12}$

$\frac{7}{12}$