The quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is

A. 23/93.
B. 93/23 or 4 1/23.
C. 75/373.
D. 115/465.

Is it b?

Sorry, I meant A.

A is correct.

To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction. Then, simplify the resulting fraction to its lowest terms.

Given the fractions:
First fraction: 5/31
Second fraction: 15/23

To divide the fractions, we can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is found by swapping the numerator and denominator. So, the reciprocal of 15/23 is 23/15.

Now, we can multiply the first fraction by the reciprocal of the second fraction:

5/31 ÷ 15/23 = 5/31 * 23/15

Next, multiply the numerators (5 * 23) and denominators (31 * 15):

(5 * 23) / (31 * 15) = 115 / 465

The fraction 115/465 is not in its lowest terms, so we need to simplify it. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, which is 5 in this case. We divide both the numerator and denominator by the GCD:

115 ÷ 5 / 465 ÷ 5 = 23 / 93

Therefore, the quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is 23/93.

So, the correct answer is A. 23/93.