Question

Evaluate the numerical expression.


1/4 − (− 5/8)


Responses
A − 1/2


B −

− 3/8
C

5/4
D

7/8

Answer 1

is that correct

Answer 2

To evaluate the expression \( \frac{1}{4} - (-\frac{5}{8}) \), we first rewrite it to simplify the subtraction of a negative number:

\[
\frac{1}{4} + \frac{5}{8}
\]

Next, we need a common denominator to add these fractions. The least common multiple of 4 and 8 is 8.

Now, we convert \( \frac{1}{4} \) to a fraction with a denominator of 8:

\[
\frac{1}{4} = \frac{2}{8}
\]

Now we can add the fractions:

\[
\frac{2}{8} + \frac{5}{8} = \frac{2 + 5}{8} = \frac{7}{8}
\]

Thus, the evaluated expression is:

\[
\frac{7}{8}
\]

Therefore, the correct answer is:

**D** \( \frac{7}{8} \)

Answer 3

Yes, the evaluation of the expression \( \frac{1}{4} - (-\frac{5}{8}) \) is correct.

1. We first rewrite the expression:
\[
\frac{1}{4} - (-\frac{5}{8}) = \frac{1}{4} + \frac{5}{8}
\]

2. The next step is to get a common denominator. The least common multiple of 4 and 8 is 8.

3. Convert \( \frac{1}{4} \) to a fraction with a denominator of 8:
\[
\frac{1}{4} = \frac{2}{8}
\]

4. Now we can add the fractions:
\[
\frac{2}{8} + \frac{5}{8} = \frac{2 + 5}{8} = \frac{7}{8}
\]

Therefore, the final result is indeed \( \frac{7}{8} \), confirming that the answer choice D \( \frac{7}{8} \) is correct.