Question

Find the quotient of 1 2/3 ÷ 2 3/5 Give your answer as a fraction in its simplest form.

Answer 1

Answer:

25/39

Step-by-step explanation:

1 $\frac{2}{3}$ = $\frac{5}{3}$ (Multiply the denominator (3) by the whole number (1). Then add the numerator (2) to get the new numerator and convert to improper form).

3 × 1 + 2 = 5

2 $\frac{3}{5}$ = $\frac{13}{5}$ (Multiply the denominator (5) by the whole number (2). Then add the numerator (3) to get it the new numerator and convert to improper form).

5 × 2 + 3 = 13

Now we can more easily divide $\frac{5}{3}$ ÷ $\frac{13}{5}$.

To divide by $\frac{13}{5}$, we can multiply by it's reciprocal: $\frac{5}{13}$ (switch the numerator and denominator).

$\frac{5}{3}$ × $\frac{5}{13}$ = $\frac{5*5}{3*13}$ = $\frac{25}{39}$. There are no common factors between 25 and 39 besides 1. So it's already simplified.