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

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rejkjavik rejkjavik · Answer 1 · 2018-10-12T05:24:42+02:00

We are given

dividends is

[tex]\frac{a}{3}[/tex]

Quotient is

[tex]\frac{5a^2}{6b}[/tex]

Let's assume divisor is 'x'

we know that

[tex]quotient=\frac{dividend}{divisor}[/tex]

now, we can plug value

[tex]\frac{5a^2}{6b}=\frac{\frac{a}{3}}{m}[/tex]

now, we can solve for m

[tex]m=\frac{\frac{a}{3}}{\frac{5a^2}{6b}}[/tex]

now, we can simplify it

[tex]m=\frac{2b}{5a}[/tex]

now, we can write in division problem

we know that

[tex]quotient=\frac{dividend}{divisor}[/tex]

now, we can plug value

[tex]\frac{5a^2}{6b}=\frac{\frac{a}{3}}{\frac{2b}{5a}}[/tex]..............Answer