# How do you add 5/6 + 7/8?

Oct 1, 2015

$\frac{5}{6} + \frac{7}{8} = \frac{41}{24} = 1 \frac{17}{24}$

#### Explanation:

$\frac{5}{6} + \frac{7}{8}$

In order to add these fractions, they must have the same denominator. To do that, you need to find the least common denominator (LCD) (also called least common multiple (LCM).

Write multiples of $6$ and $8$ and find the LCD between them.

$6 :$$6 , 12 , 18 , \textcolor{red}{24} , 30 , 36 \ldots$
$8 :$$8 , 16 , \textcolor{red}{24} \ldots$

The LCD is $24$.

Now multiply each fraction times the number than will convert the denominator to $24$.

$\frac{5}{6} \cdot \frac{4}{4} + \frac{7}{8} \cdot \frac{3}{3} =$

$\frac{20}{24} + \frac{21}{24} = \frac{41}{24}$

$\frac{41}{24} = 1 \frac{17}{24}$