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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