Evaluate the numerical expression.


1/4 − (− 5/8)


Responses
A − 1/2


B −

− 3/8
C

5/4
D

7/8

3 answers

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

is that correct

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.