Simplify: $$\frac { 4 r + 1 } { 3 r } - \frac { r - 4 } { 5 r }$$
A) $\frac { 17 r + 17 } { 5 r }$
B) $\frac { 17 r - 17 } { 15 r }$
C) $\frac { 17 r + 17 } { 15 r }$
D) $\frac { 17 r + 17 } { 15 r ^ { 2 } }$
E) $\frac { 17 r - 17 } { 6 r }$

Question

Quizplus · Accepted Answer

To simplify the given expression, find a common denominator, which is $15r$, and then combine the fractions:$$\frac { 4 r + 1 } { 3 r } - \frac { r - 4 } { 5 r } = \frac { 5(4r + 1) - 3(r - 4) } { 15 r } = \frac { 20r + 5 - 3r + 12 } { 15 r } = \frac { 17r + 17 } { 15r }$$

Simplify 4r+13r−r−45r\frac { 4 r + 1 } { 3 r } - \frac { r - 4 } { 5 r }3r4r+1​−5rr−4​

Simplify $\frac { 4 r + 1 } { 3 r } - \frac { r - 4 } { 5 r }$