Multiply 7/8 3 1/2 convert the product to be a mixed number
To multiply 7/8 and 3 1/2, first convert the mixed number to an improper fraction.
The improper fraction form of 3 1/2 can be found by multiplying the whole number (3) by the denominator of the fraction (2), and then adding the numerator (1) to get the new numerator. This gives us:
3 × 2 + 1 = 6 + 1 = 7.
So, 3 1/2 can be written as the improper fraction 7/2.
Now, we can multiply 7/8 and 7/2:
(7/8) × (7/2) = (7×7) / (8×2) = 49/16.
To convert this improper fraction to a mixed number, divide the numerator by the denominator:
49 ÷ 16 = 3 remainder 1.
The quotient (3) becomes the whole number part, and the remainder (1) becomes the new numerator. The denominator remains the same.
Therefore, the product of 7/8 and 3 1/2 is 3 1/16.