How do you simplify $\frac{7}{8} + \frac{5}{6}$ $7/8 + 5/6$ ?

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How do you simplify $\frac{7}{8} + \frac{5}{6}$ $7/8 + 5/6$ ?

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Answer 1 · 2017-05-20T10:30:22

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Explanation:

A common method to solving this is to make the fractions have the same denominator for simpler addition.

This is done by multiplying as such:

$\frac{6}{6} (\frac{7}{8}) + (\frac{5}{6}) \frac{8}{8}$ $color(red)(6/6)(7/color(blue)8) + (5/color(red)6)color(blue)(8/8)$

Note that I have multiplied each fraction with a fraction that has the same numerator and denominator as the other fraction.

By multiplying $\frac{6}{6}$ $6/6$ and $\frac{8}{8}$ $8/8$ , the fractions have not changed. Since $\frac{6}{6}$ $6/6$ and $\frac{8}{8}$ $8/8$ are equal to $1$ $1$ respectively.

$\frac{6}{6} (\frac{7}{8}) + (\frac{5}{6}) \frac{8}{8}$ $color(red)(6/6)(7/color(blue)8) + (5/color(red)6)color(blue)(8/8)$

$= \frac{42}{48} + \frac{40}{48}$ $=42/48 + 40/48$

$= \frac{82}{48}$ $=82/48$

Simplifying the fraction,

$= (\frac{82}{48}) \div \frac{2}{2}$ $= (82/48) div 2/2$

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

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