What must be subtracted from the sum of 2 1/6 and 2 7/12 to give 3 1/4

1 answer

To find the value that must be subtracted, first convert all the mixed numbers to improper fractions:

2 1/6 = (2 * 6 + 1)/6 = 13/6
2 7/12 = (2 * 12 + 7)/12 = 31/12
3 1/4 = (3 * 4 + 1)/4 = 13/4

Now, find the sum of 13/6 and 31/12:

13/6 + 31/12 = (13 * 2 + 31)/12 = 57/12 = 19/4

To find the value that must be subtracted from 19/4 to give 13/4, subtract 13/4 from 19/4:

19/4 - 13/4 = 6/4 = 3/2

Therefore, the value that must be subtracted is 3/2.
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