Simplify the expression.
-$\frac { 5 } { 4 } \cdot \frac { 1 } { 3 } + \frac { 4 } { 5 } \cdot \frac { 1 } { 2 }$
A) $\frac { 11 } { 15 }$
B) $\frac { 49 } { 36 }$
C) $\frac { 49 } { 60 }$
D) $\frac { 49 } { 44 }$

Question

Quizplus · Accepted Answer

First, multiply the fractions: $\frac{5}{4} \cdot \frac{1}{3} = \frac{5}{12}$ and $\frac{4}{5} \cdot \frac{1}{2} = \frac{2}{5}$. Then, find a common denominator (60) and add: $\frac{5}{12} = \frac{25}{60}$ and $\frac{2}{5} = \frac{24}{60}$. Adding these gives $\frac{49}{60}$.

Simplify the Expression 54⋅13+45⋅12\frac { 5 } { 4 } \cdot \frac { 1 } { 3 } + \frac { 4 } { 5 } \cdot \frac { 1 } { 2 }45​⋅31​+54​⋅21​

Simplify the Expression $\frac { 5 } { 4 } \cdot \frac { 1 } { 3 } + \frac { 4 } { 5 } \cdot \frac { 1 } { 2 }$