Question

Write a division problem that has the dividends of a/3 and a quotient of 5a2/6b

Answer 1

We are given

dividends is

$\frac{a}{3}$

Quotient is

$\frac{5a^2}{6b}$

Let's assume divisor is 'x'

we know that

$quotient=\frac{dividend}{divisor}$

now, we can plug value

$\frac{5a^2}{6b}=\frac{\frac{a}{3}}{m}$

now, we can solve for m

$m=\frac{\frac{a}{3}}{\frac{5a^2}{6b}}$

now, we can simplify it

$m=\frac{2b}{5a}$

now, we can write in division problem

we know that

$quotient=\frac{dividend}{divisor}$

now, we can plug value

$\frac{5a^2}{6b}=\frac{\frac{a}{3}}{\frac{2b}{5a}}$..............Answer