How do you simplify $\frac { 4} { 5} + \frac { 7} { 8}$ ?

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Answer 1 · 2018-03-04T18:31:21

See a solution process below:

We need to put each fraction over a common denominator by multiplying each fraction by the appropriate form of $1$ :

$4/5 = 8/8 xx 4/5 = (8 xx 4)/(8 xx 5) = 32/40$

$7/8 = 5/5 xx 7/8 = (5 xx 7)/(5 xx 8) = 35/40$

We can now add the numerators of the two fractions over the common denominator.

$32/40 + 35/40 = (32 + 35)/40 = 67/40$

If necessary, we can convert this improper fraction into a mixed number as follows:

$67/40 = (40 + 27)/40 = 40/40 + 27/40 = 1 + 27/40 = 1 27/40$

How do you simplify \frac { 4} { 5} + \frac { 7} { 8} \frac { 4} { 5} + \frac { 7} { 8} ?