What is 9 1/6 minus 3 5/8?

5 13/24 because you put the fractions in to improper fractions then get a common denominator of 24 ... 55/6 - 29/8 ... 220/24 - 87/24 ... 133/24 ... 5 13/24 ... problem solved

Lets operate is separate parts, the whole parts and the fractions:

9 1/6 - 3 5/8

= (9 - 3) + (1/6 - 5/8)

so now we have separated the operations, but now we need to get the fractions to the same denominator using the minimum common multiple of 6 and 8, which is 48 so we convert those fractions to be divided by 48:

1/6 = (8/8) (1/6) = (8*1) / (8*6) = 8/48

5/8 = (6/6) / (5/8) = (6*5) / (6*8) = 30/48

Lets substitute those fractions and subtract:

= (9 - 3) + (1/6 - 5/8)

= (9 - 3) + (8/48 - 30/48)

= (6) + (-22/48)

We have a negative fraction and have to subtract it from the whole part, we can convert the whole part to be divided by 48 as well, so the subtraction is easy:

6 = (48/48) (6) = (48*6) / (48) = 288/48

susbstitute:

= (6) + (-22/48)

= (288/48) + (-22/48)

= 288/48 - 22/48

= 266/48

= 5 26/48

= 5 13/24