Question

Divide: 40/12 ÷ 10/4.​

Answer 1

Step-by-step explanation:

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Answer 2

Solution :

We have,

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

$\begin {aligned} \bold {\dfrac{40}{12} \div \dfrac{10}{4}} &= \dfrac{40}{12} \times \dfrac{4}{10}\\\\\\&\implies \dfrac{40 \times 4}{12 \times 10} = \dfrac{16 \cancel 0}{12 \cancel 0} \Rightarrow \bold {\dfrac{4}{3}}\\\\\\\therefore \ \bold {\dfrac{40}{12} \div \dfrac{10}{4}} &= \underline {\boxed {\bf \dfrac{4}{3}}}\ \star \end {aligned}$

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

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 ; $\mathtt{\cfrac{c}{d}}$ is called the Divisor and the Result is known as Quotient.