compute 3/8 divided by 1 1/4

what is the quotient in simplest form

1 answer

To divide 3/8 by 1 1/4, we need to first convert the mixed number 1 1/4 into an improper fraction.

1 1/4 as an improper fraction is (4 * 1 + 1) / 4 = 5/4.

Therefore, the division becomes (3/8) รท (5/4).

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(3/8) * (4/5) = (3 * 4) / (8 * 5) = 12/40.

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

12/40 simplifies to 3/10.

So, the quotient of 3/8 divided by 1 1/4 in simplest form is 3/10.