Question

By What number should (-2/3)
be divided so that the quotient may be(4/27)-2​

Answer 1

➤ Answer :-

${\sf \longrightarrow (x) \tt \div \dfrac{( - 2)}{3} = \bigg(\dfrac{4}{27} - 2 \bigg)}$

To find the value of 'x' in the following sum, first we should find the value of the answer by subtracting ${\it\dfrac{4}{27}}$ and 2, and then by multiplying the quotient and the second value............

${\sf \longrightarrow (x) = \tt \bigg(\dfrac{4}{27} - 2 \bigg) \times \dfrac{( - 2)}{3}}$

First, we should find the answer by solving the bracket........

${\tt \longrightarrow \dfrac{4}{27} - \dfrac{2}{1}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 27 and 1..........

LCM of 27 and 1 is 27.

${\tt \longrightarrow \dfrac{4}{27} - \dfrac{2 \times 27}{1 \times 27}}$

${\tt \longrightarrow \dfrac{4}{27} - \dfrac{54}{27} = \dfrac{4 - 54}{27}}$

${\tt \longrightarrow \dfrac{( - 50)}{27}}$

Now,

Value of 'x' :-

${\tt \longrightarrow \dfrac{( - 50)}{27} \times \dfrac{( - 2)}{3}}$

${\tt \longrightarrow \dfrac{( - 50) \times ( - 2)}{27 \times 3} = \dfrac{100}{80}}$

${\tt \longrightarrow \orange{\boxed{\tt 1 \dfrac{20}{80}}}}$

$\Huge\therefore$ The other number is ${\tt 1 \dfrac{20}{80}}$

━━━━━━━━━━━━━━━━━━━━━━

More to know.................

• While multiplying two fractions, if the first number is not given, then we should divide the answer and the second value.
• While multiplying two fractions, if the second number is not given, then we should divide the answer and the second value.
• While dividing two fractions, if the first number is not given then we should multiply the answer and the second value.
• While dividing two fractions, if the second number is not given then we should divide the first value and the answer.