Question

Divide 25/36 ÷ 15/12 give me solution​

Answer 1

Question :-

Divide :- $\mathtt{\dfrac{25}{36}\: by\: \dfrac{15}{12}}$

$\begin {gathered} \end {gathered}$

Solution :-

We have -

$\begin{aligned}\bold{\dfrac{25}{36} \div \dfrac{15}{12}} &= \mathtt {\dfrac{25}{36} \times \dfrac{12}{15} = \dfrac{25\times12}{36\times 15}}\\\\ \mathfrak {After\:} &\mathfrak {Simplification,\: we\: get -}\\\\\mathtt{\dfrac{25\times12}{36\times15}}&\mathtt {\Rightarrow\dfrac{5\times1}{3\times3}} = \underline{\boxed {\bold {\dfrac{5}{9}}}}\ \clubsuit \end{aligned}$

$\begin {gathered} \end {gathered}$

Conclusion :-

Thus, $\mathtt{\dfrac{25}{36} \div \dfrac{15}{12} = \dfrac{5}{9}}$ .

$\begin {gathered} \end {gathered}$

Additional Information :-

DIVISION of Rational Numbers :-

$\begin{gathered} \end{gathered}$

If $\mathtt{\dfrac{a}{b}}$ and $\mathtt{\dfrac{c}{d}}$ are two Rational Numbers such that $\mathtt{\dfrac{c}{d} \neq 0}$, we define $\mathtt{\Big(\dfrac{a}{b} \div \dfrac{c}{d}\Big) = \Big(\dfrac{a}{b}\times\dfrac{d}{c}\Big)}$ .

$\begin{gathered} \end{gathered}$

When $\mathtt{\dfrac{a}{b}}$ is divided by $\mathtt{\dfrac{c}{d}}$, then $\mathtt{\dfrac{a}{b}}$ is called the Dividend; $\mathtt{\dfrac{c}{d}}$ is called the Divisor and the Result is known as Quotient.