Solve the Fraction Addition: 2/8 + 2/3 Step by Step

Question

Solve the following exercise:

28+23= \frac{2}{8}+\frac{2}{3}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each fraction by the second denominator to find the common denominator
00:08 Make sure to multiply both numerator and denominator
00:19 Calculate the multiplications
00:26 Add with the common denominator
00:30 Calculate the numerator
00:33 And this is the solution to the question

Step-by-Step Solution

Let's try to find the least common multiple (LCM) between 8 and 3

To find the least common multiple, we need to find a number that is divisible by both 8 and 3

In this case, the common multiple is 24

Now we'll 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 8

2×38×3+2×83×8=624+1624 \frac{2\times3}{8\times3}+\frac{2\times8}{3\times8}=\frac{6}{24}+\frac{16}{24}

Now we'll combine and get:

6+1624=2224 \frac{6+16}{24}=\frac{22}{24}

Answer

2224 \frac{22}{24}