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4x/12 divided by 16/12

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answer:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

Given:

(4x/12) divided by (16/12)

To find the reciprocal of a fraction, we swap the numerator and denominator.

Reciprocal of 16/12 = 12/16

Now, we multiply the first fraction by the reciprocal of the second fraction:

(4x/12) * (12/16)

Simplifying the expression:

4x * 12 = 48x

12 * 16 = 192

So, (4x/12) divided by (16/12) is equal to 48x/192.

To further simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 48:

48x/192 = (48/48) * (x/4) = 1 * (x/4) = x/4

Therefore, (4x/12) divided by (16/12) simplifies to x/4.

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