Rewrite the decimal as a fraction in lowest terms.
-$- 0.028$

A) $- \frac { 7 } { 25 }$

B) $- \frac { 1 } { 28 }$

C) $- \frac { 1 } { 784 }$

D) $- \frac { 7 } { 250 }$

Question

Rewrite the decimal as a fraction in lowest terms.
-$- 0.028$

A) $- \frac { 7 } { 25 }$

B) $- \frac { 1 } { 28 }$

C) $- \frac { 1 } { 784 }$

D) $- \frac { 7 } { 250 }$

Quizplus · Accepted Answer

To convert a decimal to a fraction, we count the number of decimal places and place the decimal's digits over a denominator of 1 followed by that many zeros. In this case, we have three decimal places, so we place the digits 28 over a denominator of 1 followed by three zeros, which is 1000. We get: 
$$-0.028 = -\frac{28}{1000}$$ 
We can simplify this fraction by dividing both numerator and denominator by their greatest common factor, which is 4. 
$$-\frac{28}{1000}=-\frac{7}{250}$$ 
Therefore, the answer is D, $-\frac{7}{250}$.

Rewrite the Decimal as a Fraction in Lowest Terms −0.028- 0.028−0.028

Rewrite the Decimal as a Fraction in Lowest Terms $- 0.028$