How do you add 6 3/4 + 5 1/8?

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How do you add 6 3/4 + 5 1/8?

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Answer 1 · 2016-11-26T14:48:48

$\frac{95}{8}$ $95/8$ or $11 \frac{7}{8}$ $11 7/8$

Explanation:

First, we need to take these mixed fractions and convert them into improper fractions:

$6 \frac{3}{4} \Rightarrow \frac{(6 \cdot 4) + 3}{4} \Rightarrow \frac{24 + 3}{4} \Rightarrow \frac{27}{4}$ $6 3/4 => ((6*4) + 3)/4 => (24 + 3)/4 => 27/4$

and

$5 \frac{1}{8} \Rightarrow \frac{(5 \cdot 8) + 1}{8} \Rightarrow \frac{40 + 1}{8} \Rightarrow \frac{41}{8}$ $5 1/8 => ((5*8) + 1)/8 => (40 + 1)/8 => 41/8$

We can now restate the problem as:

$\frac{27}{4} + \frac{41}{8}$ $27/4 + 41/8$

We now need to get both fractions over a common denominator, in this case $8$ $8$ , by multiplying the first fraction by the appropriate form of $1$ $1$ :

$(\frac{2}{2} \cdot \frac{27}{4}) + \frac{41}{8} \Rightarrow \frac{54}{8} + \frac{41}{8} \Rightarrow \frac{95}{8}$ $(2/2 * 27/4) + 41/8 => 54/8 + 41/8 => 95/8$

We can convert this to a mixed fraction if necessary by dividing 95 by 8 which is 11 with a remainder of 7 which can be written as $11 \frac{7}{8}$ $11 7/8$

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How do you add 6 3/4 + 5 1/8?

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