Question

Multiply $\frac{6}{13}$ by the reciprocal of 3.

Answer 1

Answer :-

• The answer is $\sf\dfrac{2}{13}$

What to do?

Multiply $\sf\dfrac{6}{13}$ by the reciprocal of 3.

Step-by-step explanation :-

• In this question, we are asked to multiply $\sf \dfrac{6}{13}$ by the reciprocal of 3. But before multiplying the numbers, we have to find out the reciprocal of 3. After that, we can multiply them and find out our answer.

Calculations :-

3 can also be written as $\sf \dfrac{3}{1}$

Hence, it's reciprocal is $\sf \dfrac{1}{3}$

So, that means we have to multiply :-

$\sf \dfrac{6}{13} \: \: by \: \: \dfrac{1}{3}$

Now let's proceed!

Final answer :-

$\tt\dfrac{ \not6}{13} \times \dfrac{1}{ \not3}$

Reducing the numbers,

$\tt \dfrac{2}{13} \times \dfrac{1}{1}$

Now after reducing, let's multiply the remaining numbers.

$\tt \dfrac{2 \times 1}{13 \times 1} = \dfrac{2}{13}$

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Note :- To find the reciprocal, we just have to exchange the places of the numerator and denominator.

Answer 2

To multiply:

$\dfrac{6}{13} \times \sf \: reciprocal \: of \: 3$

Step by Step Solution:

$\dfrac{6}{13} \times \sf \: reciprocal \: of \: 3$

We know, reciprocal of 3 is $\dfrac{1}{3}$

So,

$\dfrac{6}{13} \times \dfrac{1}{3}$

$\dfrac{ \cancel{ \: \: 6 \: \: }}{13} \times \dfrac{1}{ \cancel{ \: \: 3 \: \: }}$

$\orange{\dfrac{2}{13}}$

Correct Answer:-

• $\: \: \: \: \green{ \boxed{ \orange{\dfrac{2}{13}}}}$