`(2c^2d)/(10c) -: (5d)/(3c^2)`  I'm confused on this problem.

Expert Answers
lemjay eNotes educator| Certified Educator

`(2c^2d)/(10c) -: (5d)/(3c^2)`

When we divide two fractions, the steps are:

> Flip the second fraction and change the operation from division to multiplication.

`=(2c^2d)/(10c) * (3c^2)/(5d)`

> Multiply the numerator of the first fraction with the numerator of the second fraction. Also, multiply the denominator of the first fraction with the denominator of the other.


> To multiply same variable, add the exponents ( `a^m*a^n=a^(m+n)` ).


> To divide same variable, subtract the exponents (` a^m/a^n=a^(m-n)` ). 


Then, reduce the fraction 6/50 to its lowest term.


Hence,  `(2c^2d)/(10c)-:(5d)/(3c^2) = (3c^3)/25` .