How do you evaluate $\frac{2}{3} + \frac{3}{4}$ $2/3 + 3/4$ ?

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How do you evaluate $\frac{2}{3} + \frac{3}{4}$ $2/3 + 3/4$ ?

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Answer 1 · 2016-10-11T21:16:54

find a common denominator so the two fractions can be added.
which gives $\frac{17}{12}$ $17/12$ or 1 + $\frac{5}{12}$ $5/12$

Explanation:

Two terms can only be added if there are the same. $\frac{2}{3}$ $2/3$ and $\frac{3}{4}$ $3/4$ are not the same. The two terms can be made the same by finding a common denominator 3x 4 = 12 so 12 will work as a common denominator.

multiply both the top and the bottom by the factor to make 12

$\frac{4}{4} \times \frac{2}{3} + \frac{3}{3} \times \frac{3}{4}$ $4/4 xx 2/3 + 3/3 xx 3/4$ This gives

$\frac{8}{12} + \frac{9}{12}$ $8/12 + 9/12$ The two terms can now be added giving

$\frac{17}{12}$ $17/12$ This is an improper fraction that can be rewritten as

$1 (\frac{5}{12})$ $1 (5/12)$

This is how to evaluate two fractions with different denominators.

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