Simplify the numerical expression. Remember that fractions are not considered simplified unless they are reduced. $$\frac { 1 } { 2 } + \frac { 1 } { 11 } + \frac { 1 } { 7 } + \frac { 1 } { 3 }$$
A) $1 \frac { 1 } { 154 }$
B) $\frac { 1 } { 462 }$
C) $1 \frac { 31 } { 462 }$
D) $\frac { 1 } { 23 }$
E) $\frac { 4 } { 462 }$

Question

Quizplus · Accepted Answer

To add the fractions with different denominators, we must first find a common denominator. The smallest common multiple of 2, 11, 7, and 3 is 462. Then we rewrite each fraction with a denominator of 462 and add them together. $$\frac { 1 } { 2 } + \frac { 1 } { 11 } + \frac { 1 } { 7 } + \frac { 1 } { 3 }=\frac { 231 } { 462 } + \frac { 42 } { 462 } + \frac { 66 } { 462 } + \frac { 154 } { 462 }=\frac { 493 } { 462 }=1 \frac { 31 } { 462 }$$ Therefore, the answer is C.

Simplify the Numerical Expression 12+111+17+13\frac { 1 } { 2 } + \frac { 1 } { 11 } + \frac { 1 } { 7 } + \frac { 1 } { 3 }21​+111​+71​+31​

Simplify the Numerical Expression $\frac { 1 } { 2 } + \frac { 1 } { 11 } + \frac { 1 } { 7 } + \frac { 1 } { 3 }$