Multiply 3/8 times 12. Write the answer in simplest form and convert to a mixed number.(1 point)

Answer 1

To multiply 3/8 by 12, we can multiply the numerator (3) by 12 and leave the denominator (8) unchanged:
3/8 * 12 = (3 * 12)/8 = 36/8

To simplify 36/8, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 4:
36/8 = (36 ÷ 4)/(8 ÷ 4) = 9/2

To convert 9/2 to a mixed number, we divide the numerator (9) by the denominator (2) to get the whole number part, and the remainder becomes the numerator of the fractional part:
9 ÷ 2 = 4 with a remainder of 1

Therefore, 9/2 as a mixed number is 4 1/2.