How do you solve $1 7/16 + s = 9/8$ ?

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Answer 1 · 2015-07-16T22:09:23

$color(red)(s = -5/16)$

$1 7/16 + s = 9/8$

I would multiply both sides of the equation by the lowest common multiple of the denominators.

The lowest common multiple of 16 and 8 is 16.

$16(1 7/16 + s) = 16 × 9/8$

$16×23/16 + 16s = 18$

$23 + 16s = 18$

Subtract 23 from each side,

$23 + 16s -23 = 18-23$

$16s = -5$

Divide both sides by 16.

$(16s)/16 = -5/16$

$s = -5/16$

Check:

$1 7/16 + s = 1 7/16 +(-5/16) = 23/16 -5/16 = 18/16 = 9/8$

How do you solve 1 7/16 + s = 9/81 7/16 + s = 9/8?