Divide. Write the quotient in simplest form.

Question

three-fourths ÷ four-fifths
(1 point)
Responses

start fraction 12 over 20 end fraction
Image with alt text: start fraction 12 over 20 end fraction

fifteen-sixteenths
Image with alt text: fifteen-sixteenths

seven-ninths
Image with alt text: seven-ninths

six-fifths

Answer 1

To divide three-fourths by four-fifths, we can multiply the numerator by the reciprocal of the denominator.

The reciprocal of four-fifths is five-fourths.

So, three-fourths ÷ four-fifths = (3/4) * (5/4) = 15/16.

Therefore, the quotient in simplest form is fifteen-sixteenths.