Question #a0726

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Question #a0726

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Answer 1 · 2017-09-04T00:24:25

$t = \frac{75}{56}$ $t=75/56$

Explanation:

Add $\frac{5}{7}$ $5/7$ to both sides

$t = \frac{5}{8} + \frac{5}{7}$ $t = 5/8 + 5/7$

You have $- \frac{5}{7} + \frac{5}{7} = 0$ $-5/7 + 5/7 = 0$ on the left side; $\frac{5}{8} + \frac{5}{7}$ $5/8 + 5/7$ requires finding of common denominators.

$\frac{35}{56} + \frac{40}{56} = \frac{75}{56}$ $35/56 + 40/56 = 75/56$

So

$t = \frac{75}{56}$ $t = 75/56$

Answer 2 · 2017-09-18T06:27:11

$t = 9 \frac{3}{8}$ $t = 9 3/8$

Explanation:

In the absence of any formatting or parentheses, I wonder if you meant the question to be as follows? It is solved below, just in case.

$\frac{t - 5}{7} = \frac{5}{8}$ $(t-5)/7 =5/8$

There is only one fraction on each side of the equation, so you can cross-multiply

$8 (t - 5) = 7 \times 5$ $8(t-5) = 7xx5$

$8 t - 40 = 35 \leftarrow$ $8t-40 = 35" "larr$ add 40 to both sides

$8 t = 35 + 40$ $8t = 35+40$

$8 t = 75 \leftarrow$ $8t =75" "larr$ divide both sides by 8

$t = \frac{75}{8}$ $t = 75/8$

$t = 9 \frac{3}{8}$ $t = 9 3/8$

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Question #a0726

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