Add or subtract as indicated. Write the answer in lowest terms.
-$5 \frac { 7 } { 20 } - 3 \frac { 1 } { 16 }$
A) $1 \frac { 23 } { 80 }$
B) $2 \frac { 27 } { 80 }$
C) $2 \frac { 3 } { 40 }$
D) $2 \frac { 23 } { 80 }$

Question

Quizplus · Accepted Answer

To solve $5 \frac { 7 } { 20 } - 3 \frac { 1 } { 16 }$, first convert each mixed number to an improper fraction. For $5 \frac { 7 } { 20 }$, the improper fraction is $\frac{107}{20}$. For $3 \frac { 1 } { 16 }$, the improper fraction is $\frac{49}{16}$. To subtract these, find a common denominator, which is 80. Convert each fraction to have this common denominator, getting $\frac{428}{80}$ and $\frac{245}{80}$. Subtracting these gives $\frac{183}{80}$, which simplifies to $2 \frac { 23 } { 80 }$.

Add or Subtract as Indicated 5720−31165 \frac { 7 } { 20 } - 3 \frac { 1 } { 16 }5207​−3161​

Add or Subtract as Indicated $5 \frac { 7 } { 20 } - 3 \frac { 1 } { 16 }$