Multiply 3/8 times 12. Write the answer in simplest form and convert to a mixed number.

1 answer

To find the product of 3/8 and 12, we multiply the numerator (3) by the whole number (12):

3/8 * 12 = (3 * 12) / 8 = 36/8

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

36/8 = (36 ÷ 4) / (8 ÷ 4) = 9/2

To convert this fraction to a mixed number, we need to divide the numerator (9) by the denominator (2). The quotient is the whole number in the mixed number, and the remainder is the numerator of the fraction in the mixed number:

9 ÷ 2 = 4 remainder 1

Therefore, the original expression 3/8 times 12, when simplified and converted to a mixed number, is 4 1/2.