Question

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

Answer 1

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`7 (1)/(3) + n = 10 (3)/(8) \\`

`(21 + 1)/(3) + n = (80 + 3)/(8) \\`

`(22)/(3) + n = (83)/(8) \\`

Subtract sides 22 / 3

`- (22)/(3) + (22)/(3) + n = - (22)/(3) + (83)/(8) \\`

`n = (83)/(8) - (22)/(3) \\`

`n = (83 * 3)/(8 * 3) - (22 * 8)/(3 * 8) \\`

`n = (249)/(24) - (176)/(24) \\`

`n = (249 - 176)/(24) \\`

`n = (73)/(24) \\`

`n = (72 + 1)/(24) \\`

`n = 3 (1)/(24) \\`

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Answer 2

3 1/24

Explanation:

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