Solve the Fraction Addition: 4/8 + 5/12

Question

Solve the following equation:

48+512= \frac{4}{8}+\frac{5}{12}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each fraction by 3 and 2 respectively to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:22 Calculate the multiplications
00:34 Add with the common denominator
00:39 And this is the solution to the question

Step-by-Step Solution

Let's first identify the lowest common denominator between 8 and 12.

In order to identify the lowest common denominator, we need to find a number that is divisible by both 8 and 12.

In this case, the common denominator is 24.

Let's proceed to multiply each fraction by the appropriate number to reach the denominator 24.

We'll multiply the first fraction by 3

We'll multiply the second fraction by 2

4×38×3+5×212×2=1224+1024 \frac{4\times3}{8\times3}+\frac{5\times2}{12\times2}=\frac{12}{24}+\frac{10}{24}

Now let's add:

12+1024=2224 \frac{12+10}{24}=\frac{22}{24}

Answer

2224 \frac{22}{24}