The quotient of 5 over 31 divided by 15 over 23 reduced to the lowest fraction is what?

Answer 1

To find the quotient of ( \frac{5}{31} ) divided by ( \frac{15}{23} ), you multiply by the reciprocal of the second fraction:

[ \frac{5}{31} \div \frac{15}{23} = \frac{5}{31} \times \frac{23}{15} = \frac{5 \times 23}{31 \times 15} = \frac{115}{465}. ]

Next, simplify ( \frac{115}{465} ) by finding the greatest common divisor (GCD), which is 5:

[ \frac{115 \div 5}{465 \div 5} = \frac{23}{93}. ]

Thus, the reduced fraction is ( \frac{23}{93} ).