What is the quotient when 6 3/8 is divided by 3?

1 answer

To divide 6 3/8 by 3, we first need to convert the mixed number 6 3/8 into an improper fraction.

To do this, we multiply the whole number (6) by the denominator of the fraction (8), and add the numerator (3).

6 * 8 = 48
48 + 3 = 51

So, 6 3/8 can be expressed as the improper fraction 51/8.

Now, we can divide 51/8 by 3:

51/8 ÷ 3 = 51/8 * 1/3
= (51 * 1) / (8 * 3)
= 51/24

To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 3:

51/24 ÷ 3/3 = (51 ÷ 3) / (24 ÷ 3)
= 17/8

Therefore, the quotient when 6 3/8 is divided by 3 is 17/8.