Question

The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?

Answer 1

Answer:

3 1/24

Step-by-step explanation:

to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).

Answer 2

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$7 \frac{1}{3} + n = 10 \frac{3}{8}$

$\frac{21 + 1}{3} + n = \frac{80 + 3}{8}$

$\frac{22}{3} + n = \frac{83}{8}$

Subtract sides 22 / 3

$- \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8}$

$n = \frac{83}{8} - \frac{22}{3}$

$n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8}$

$n = \frac{249}{24} - \frac{176}{24}$

$n = \frac{249 - 176}{24}$

$n = \frac{73}{24}$

$n = \frac{72 + 1}{24}$

$n = 3 \frac{1}{24}$

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