Solve the Fraction Addition: 1/4 + 6/8 Step-by-Step

Question

Solve the following exercise:

14+68= \frac{1}{4}+\frac{6}{8}=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's multiply this fraction by 2 to find the common denominator
00:06 Make sure to multiply both numerator and denominator
00:12 Let's calculate the products
00:18 Let's add with the common denominator
00:21 Let's calculate the numerator
00:24 Any number divided by itself always equals 1
00:26 And this is the solution to the question

Step-by-Step Solution

Let's try to find the least common denominator between 4 and 8

To find the least common denominator, we need to find a number that is divisible by both 4 and 8

In this case, the common denominator is 8

Now we'll multiply each fraction by the appropriate number to reach the denominator 8

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

1×24×2+6×18×1=28+68 \frac{1\times2}{4\times2}+\frac{6\times1}{8\times1}=\frac{2}{8}+\frac{6}{8}

Now we'll combine and get:

2+68=88=1 \frac{2+6}{8}=\frac{8}{8}=1

Answer

1 1