. solve the problem using the additive inverse. - 5/8 - (- 3/24) *

Question

A.18/24
B.8/31
C.- 12/24
D.- 18

Answer 1

To solve the problem \(-\frac{5}{8} - \left(-\frac{3}{24}\right)\), we first rewrite it by removing the negative signs.

The equation can be rewritten as:

\[ -\frac{5}{8} + \frac{3}{24} \]

Next, we need a common denominator to combine the fractions. The denominators we have are 8 and 24. The least common denominator (LCD) is 24.

Now, we convert \(-\frac{5}{8}\) to a fraction with a denominator of 24:

\[ -\frac{5}{8} = -\frac{5 \times 3}{8 \times 3} = -\frac{15}{24} \]

Now, we can combine the two fractions:

\[ -\frac{15}{24} + \frac{3}{24} = \frac{-15 + 3}{24} = \frac{-12}{24} \]

Now we've simplified it to:

\[ \frac{-12}{24} \]

Now, let's see which option matches our answer:

C. \(-\frac{12}{24}\)

So the answer is:

C. \(-\frac{12}{24}\)