Subtract and reduce to lowest term 412-377 19/32

To subtract 377 from 412, we get:

412 - 377 = 35

Now we add the fraction 19/32 to the result:

35 + 19/32

To add a whole number with a fraction, we need to first convert the whole number to a fraction with a common denominator. The common denominator in this case is 32, so 35 is equal to 35/1.

Now we add the fractions:

35/1 + 19/32 = (35*32 + 19) / 32 = (1120 + 19) / 32 = 1139 / 32

So, 412 - 377 + 19/32 = 1139/32

The fraction 1139/32 is already expressed in its lowest terms.