Question

Work out 3 ÷
13
4
Give your answer as a fraction in its
simplest form.

Answer 1

To calculate 3 ÷ (13/4), multiply 3 by the reciprocal of 13/4, which results in the fraction 12/13. This answer is already in its simplest form.

Step-by-step explanation:

The question asks to work out 3 ÷ (13/4), which can be translated to 3 divided by 13/4. To perform division by a fraction, you multiply by the reciprocal of that fraction. The reciprocal of 13/4 is 4/13.

Therefore, the operation becomes:

3 × (4/13)

This is equivalent to multiplying 3/1 by 4/13:

(3/1) × (4/13) = 12/13

The fraction 12/13 cannot be simplified further, so this is the answer in its simplest form.

Answer 2

Answer: 12/13

Step-by-step explanation:

Step 1:

Take the whole number, 3, and multiply it by the denominator of the fraction, 4:

4 x 3 = 12

Step 2:

The result of this multiplication will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:

4

⋅

3

13

=

12

13

13

4⋅3

​

=

13

12

To display the answer to 13/4 Divided by 3 in decimal form, you can divide the numerator, 12, by the denominator, 13. The answer can be rounded to the nearest three decimal points, if needed:

12

13

=

12

13

=

0.92

13

12

​ =

13

12

So, in decimal form, 13 divided by 4/3 = 12/13

And in its simplest fractional form, 13 divided by 4/3 is 12/13