Question

evaluate the expression.
\\(\frac{3}{4} - \frac{1}{4} \times \frac{1}{2}\\)
write your answer as a fraction or as a whole

Explanation:

Step1: Perform multiplication first

We need to calculate \(\frac{1}{4} \times \frac{1}{2}\). When multiplying fractions, we multiply the numerators together and the denominators together. So, \(\frac{1}{4} \times \frac{1}{2} = \frac{1 \times 1}{4 \times 2} = \frac{1}{8}\).

Step2: Perform subtraction

Now we have the expression \(\frac{3}{4} - \frac{1}{8}\). To subtract these fractions, we need a common denominator. The least common denominator of 4 and 8 is 8. So we convert \(\frac{3}{4}\) to eighths: \(\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}\). Now we can subtract: \(\frac{6}{8} - \frac{1}{8} = \frac{6 - 1}{8} = \frac{5}{8}\).

Answer:

\(\frac{5}{8}\)