How do you solve $7/112=(c-3)/8$ ?

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Answer 1 · 2017-02-05T19:12:21

See the entire solution process below:

First, multiply each side of the equation by $color(red)(8)$ to eliminate one fraction while keeping the equation balanced:

$color(red)(8) xx 7/112 = color(red)(8) xx (c - 3)/8$

$56/112 = cancel(color(red)(8)) xx (c - 3)/color(red)(cancel(color(black)(8)))$

$1/2 = c - 3$

Now, add $color(red)(3)$ to each side of the equation to solve for $c$ while keeping the equation balanced:

$1/2 + color(red)(3) = c - 3 + color(red)(3)$

$1/2 + 6/2 = c - 0$

$7/2 = c$

$c = 7/2$

How do you solve 7/112=(c-3)/87/112=(c-3)/8?