Evaluate the expression $- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }$ and write the result in simplest form.
A) $\frac { 4 } { 15 }$
B) $- \frac { 97 } { 15 }$
C) $\frac { 28 } { 15 }$
D) $- \frac { 28 } { 15 }$
E) $\frac { 67 } { 15 }$

Question

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $-1\frac{4}{5} = -\frac{9}{5}$ and $-4\frac{2}{3} = -\frac{14}{3}$. Then, find a common denominator (15) and subtract: $-\frac{9}{5} - \frac{14}{3} = -\frac{27}{15} - \frac{70}{15} = -\frac{97}{15}$.

Evaluate the Expression −145−423- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }−154​−432​

Evaluate the Expression $- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }$