# How do you solve w+ \frac { 3} { 4} = 2\frac { 4} { 5}?

Mar 20, 2017

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#### Explanation:

$w + \frac{3}{4} = 2 \frac{4}{5}$

$\therefore \frac{w}{1} + \frac{3}{4} = \frac{14}{5}$

$\therefore \frac{20 w + 15 = 56}{20}$

multiply L.H.S. and R.H.S by 20

$\therefore 20 w + 15 = 56$

$\therefore 20 w = 56 - 15$

$\therefore 20 w = 41$

$\therefore w = \frac{41}{20}$

:.color(blue)(w=2 1/20