Question

Find the quotient of 5/ 31 divided by 15/ 23. Reduce your answer to the lowest fraction. A. 93/23, or 41/23 B. 75/373 C. 115/465 D. 23/93
If you could please explain how you got your answer so I understand better I would appreciate it.

Answer 1

(5/31) / (15/23)

When you divide fractions, you always flip the second fraction and then multiply the numerators and denominators together.

So:

(5/31) / (15/23) becomes (5/31) × (23/15)

Now you do:

5 × 23 = 115
31 × 15 = 465

So the final product of the two fractions is 115/465

We always want the most simplified version of a fraction so we can divide both the numerator and denominator by 5 to get:

115 ÷ 3 = 23
464 ÷ 3 = 93

23/93 which is answer D