Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction.

(7/24) / (35/48)

(7/24) * (48/35) = 336/1,152 = 42/144 = 7/24

To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction. In this case, you would multiply 7/24 by the reciprocal of 35/48.

The reciprocal of any fraction is obtained by interchanging the numerator and the denominator. So, the reciprocal of 35/48 is 48/35.

Now, let's multiply 7/24 by 48/35:

(7/24) * (48/35) = (7 * 48) / (24 * 35) = 336 / 840

To reduce the fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.

The GCD of 336 and 840 is 168. By dividing both the numerator and the denominator by 168, we get:

336 / 840 = (336 ÷ 168) / (840 ÷ 168) = 2 / 5

So, the reduced quotient of 7/24 divided by 35/48 is 2/5.