Use the order of operations to simplify the expression.
-$\left( \frac { 4 } { 7 } \cdot \frac { 1 } { 7 } \right) + \left( \frac { 3 } { 5 } \div 4 \right)$
A) $\frac { 227 } { 980 }$
B) $\frac { 227 } { 60 }$
C) $\frac { 101 } { 126 }$
D) $\frac { 227 } { 490 }$

Question

Quizplus · Accepted Answer

First, simplify inside the parentheses: $\left( \frac { 4 } { 7 } \cdot \frac { 1 } { 7 } \right) = \frac { 4 } { 49 }$ and $\left( \frac { 3 } { 5 } \div 4 \right) = \frac { 3 } { 5 } \cdot \frac { 1 } { 4 } = \frac { 3 } { 20 }$. Then, add the two fractions: $\frac { 4 } { 49 } + \frac { 3 } { 20 } = \frac { 4 \cdot 20 } { 49 \cdot 20 } + \frac { 3 \cdot 49 } { 20 \cdot 49 } = \frac { 80 } { 980 } + \frac { 147 } { 980 } = \frac { 227 } { 980 }$.

Use the Order of Operations to Simplify the Expression (47⋅17)+(35÷4)\left( \frac { 4 } { 7 } \cdot \frac { 1 } { 7 } \right) + \left( \frac { 3 } { 5 } \div 4 \right)(74​⋅71​)+(53​÷4)

Use the Order of Operations to Simplify the Expression $\left( \frac { 4 } { 7 } \cdot \frac { 1 } { 7 } \right) + \left( \frac { 3 } { 5 } \div 4 \right)$