Question

Which fraction is equivalent to -(48/72) ?

A. -2/-3
B. 2/3
C. 4/-6
D. 4/6

Answer 1

To simplify the fraction \(-\frac{48}{72}\), we need to find the greatest common divisor (GCD) of 48 and 72.

The GCD of 48 and 72 is 24. Now we can simplify the fraction:

\[
-\frac{48 \div 24}{72 \div 24} = -\frac{2}{3}
\]

Now we can check which of the options corresponds to this result.

A. \(-\frac{2}{3}\) → This is equivalent to \(-\frac{48}{72}\).
B. \(\frac{2}{3}\) → This is not equivalent.
C. \(\frac{4}{-6}\) → This simplifies to \(-\frac{2}{3}\), so it's equivalent.
D. \(\frac{4}{6}\) → This simplifies to \(\frac{2}{3}\), so it's not equivalent.

After reviewing the options, we find the correct answer:

**A. -2/-3** and **C. 4/-6** are both equivalent to \(-\frac{48}{72}\).

So, the correct choices are **A** and **C**. If you need to choose just one, they are both valid equivalent fractions.