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

Mathematics

2 answers:

patriot [66]2 years ago

7 0

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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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solmaris [256]2 years ago

5 0

Answer:

3 1/24

Step-by-step explanation:

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

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madam [21]

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