Multiply 7/8 by 3 1/2. Convert the product to be a mixed number.
To multiply 7/8 by 3 1/2, we first need to convert the mixed number 3 1/2 to an improper fraction.
By multiplying the whole number part (3) with the denominator (2) and then adding the numerator (1), we get:
3 * 2 + 1 = 6 + 1 = 7.
Therefore, 3 1/2 as an improper fraction is 7/2.
Now we can multiply 7/8 by 7/2:
(7/8) * (7/2) = (7*7)/(8*2) = 49/16.
To convert 49/16 to a mixed number, we divide the numerator (49) by the denominator (16). The quotient will be the whole number part, and the remainder will be the numerator of the fraction part.
49 รท 16 = 3 remainder 1.
So, the product of 7/8 and 3 1/2 as a mixed number is 3 1/16.