Find the quotient of
4
5
and
6
7
.
Give your answer as a fraction in its simplest form.
(4/5) / (6/7)
(4/5) * (7/6) = 28/30 = 14/15
5
,
7
,
6
,
5
,
7
,
3
To find the quotient of 4/5 and 6/7, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 6/7 is 7/6.
Thus, the quotient is:
(4/5) * (7/6)
To simplify the fraction, we can cancel common factors. The common factor between 4 and 6 is 2.
(2*2)/(5*3)
This simplifies to:
4/15
Therefore, the quotient of 4/5 and 6/7 is 4/15.
To find the quotient of the fractions 4/5 and 6/7, we need to divide the numerator of the first fraction by the numerator of the second fraction, and the denominator of the first fraction by the denominator of the second fraction.
Here are the steps to find the quotient:
Step 1: Multiply the first fraction (4/5) by the reciprocal of the second fraction (7/6).
(4/5) * (7/6) = (4 * 7) / (5 * 6) = 28/30
Step 2: Simplify the fraction to its simplest form.
To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.
In this case, the GCD of 28 and 30 is 2.
Divide both the numerator and denominator by 2:
(28/2) / (30/2) = 14/15
So, the quotient of 4/5 and 6/7 is 14/15 in its simplest form.