Question: What number should be added to the fraction - 56 to get the fraction 37?
A ) - 5342
B ) 5645
C ) 5342
D ) None of the above
Steps to derive
1 Let y be the required number.
[Original equation.]
2 y + (- 56) = 37
[Use distributive property.]
3 y - 56 = 37
[Add 56 to each side.]
4 y - 56 + 56 = 37 + 56
[Write equivalent fractions with a denominator of 42.]
5 y = 1842 + 3542
[Write the sum over the common denominator.]
6 y = (18+35)42
[Simplify]
7 = 5342
8 The number 5342, should be added to the fraction - 56, to get the fraction 37.
Hence the right answer is Option C
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