Solve the Fraction Addition: 1/4 + 6/12 Step-by-Step

Question

Solve the following equation:

14+612= \frac{1}{4}+\frac{6}{12}=

Video Solution

Solution Steps

00:05 Let's solve this problem.
00:08 First, multiply the fraction by 3 to get a common denominator.
00:13 Remember to multiply both the numerator and the denominator.
00:17 Now, calculate the products. Take your time.
00:25 Next, add the fractions using the common denominator.
00:29 Calculate the new numerator carefully.
00:33 And that's how we solve this problem!

Step-by-Step Solution

We must first identify the lowest common denominator between 4 and 12.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 4 and 12.

In this case, the common denominator is 12.

We will then proceed to 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 1

1×34×3+6×112×1=312+612 \frac{1\times3}{4\times3}+\frac{6\times1}{12\times1}=\frac{3}{12}+\frac{6}{12}

Finally we'll combine and obtain the following:

3+612=912 \frac{3+6}{12}=\frac{9}{12}

Answer

912 \frac{9}{12}