Divide. Write the quotient in simplest form.
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
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.
To divide three-fourths by four-fifths and write the quotient in simplest form, you need to multiply the first fraction by the reciprocal of the second fraction:
3/4 ÷ 4/5 = 3/4 * 5/4
Multiplying the numerators gives: 3 * 5 = 15
Multiplying the denominators gives: 4 * 4 = 16
Therefore, the quotient, in simplest form, is fifteen-sixteenths.