Question

pls answer this asap​

Answer 1

Answer :-

• $\boxed{\tt \dfrac{ - 2}{ \: 13} \div \dfrac{1}{7} = \dfrac{ - 14}{ \: \: \: 13}}$

• $\boxed{\sf The \: answer \: is \: \: \dfrac{ - 14}{ \: \: \: 13}}$

What to do?

• $\boxed{\sf Divide \: \: \dfrac{ - 2}{13} \: \ by \: \ \dfrac{1}{7}}$

Step-by-step explanation :-

• $\sf\dfrac{ - 2}{ \: 13} \div \dfrac{1}{7}$

• In this question, we have to divide two rational numbers.

• We know that, to multiply two fractions or rational numbers, we first find the reciprocal of the number on the RHS, and then replace the ÷ sign by × sign.

• $\boxed{\sf Here, \: reciprocal \: of \: \dfrac{1}{7} \: \: is \: \: \dfrac{7}{1}}$

• So, that means we now have to multiply $\sf \dfrac{ - 2}{ \: 13} \: \: by \: \: \dfrac{7}{1}$

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Calculations :-

$\implies\sf\dfrac{ - 2}{ \: 13} \times \dfrac{7}{1}$

We can't reduce these numbers, so let's multiply them.

$\sf\implies \dfrac{ - 2 \times 7}{ \:13 \times 1}$

On multiplying,

$\underline{\boxed{\sf\implies \dfrac{ - 14}{ \: \: \: 13}}}$

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Hence,

• $\tt \dfrac{ - 2}{ \: 13} \div \dfrac{1}{7} = \dfrac{ - 14}{ \: \: \: 13}$