reduce fraction

12m^4
_______
28m^3

12/28 = 3/7
m^4/m^3 = m
answer 3m/7.

To reduce the fraction 12m^4/28m^3, we can simplify it by canceling out any common factors between the numerator (12m^4) and the denominator (28m^3).

First, let's look at the numerical part. The greatest common factor (GCF) of 12 and 28 is 4. To simplify the numerical part, we divide both the numerator and denominator by 4:

12 ÷ 4 = 3
28 ÷ 4 = 7

Next, let's examine the variable part. We have m^4 in the numerator and m^3 in the denominator. To simplify this, we subtract the powers of the variable:

m^4 ÷ m^3 = m^4-3 = m^1 = m

Combining the simplified numerical and variable parts, we now have 3m/7.

Therefore, the reduced form of the fraction 12m^4/28m^3 is 3m/7.