Subtract as indicated, and express your answer in lowest terms. $- 4 - \frac { 2 } { 5 }$
A) $\frac { 22 } { 5 }$
B) $\frac { 5 } { 22 }$
C) $- \frac { 1 } { 22 }$
D) $- \frac { 22 } { 5 }$
E) $- \frac { 5 } { 22 }$

Question

Quizplus · Accepted Answer

To subtract a whole number and a fraction, we need to express the whole number as a fraction with the same denominator as the fraction. In this case, we have:

$-4 = -\frac{20}{5}$

Now we can combine the fractions:

$-\frac{20}{5}-\frac{2}{5}=-\frac{22}{5}$

Finally, we simplify the result to lowest terms by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case:

$-\frac{22}{5}=-\frac{11}{\frac{5}{2}}=-\frac{11}{2.5}=-\frac{11}{5}$

Thus, the answer is D: $-\frac{22}{5}$

Subtract as Indicated, and Express Your Answer in Lowest Terms −4−25- 4 - \frac { 2 } { 5 }−4−52​

Subtract as Indicated, and Express Your Answer in Lowest Terms $- 4 - \frac { 2 } { 5 }$