Question

compare \\(\frac{3}{4}\\) and \\(\frac{5}{8}\\). complete the sentence describing the comparison. \\(\frac{3}{4}\\) is less than \\(\frac{5}{8}\\). done

Explanation:

Step1: Find a common denominator

To compare \(\frac{3}{4}\) and \(\frac{5}{8}\), we find a common denominator. The least common denominator of 4 and 8 is 8. So we convert \(\frac{3}{4}\) to eighths: \(\frac{3}{4}=\frac{3\times2}{4\times2}=\frac{6}{8}\).

Step2: Compare the numerators

Now we have \(\frac{6}{8}\) and \(\frac{5}{8}\). Since the denominators are the same, we compare the numerators. \(6 > 5\), so \(\frac{6}{8}>\frac{5}{8}\), which means \(\frac{3}{4}>\frac{5}{8}\). So the original selection of "less than" is incorrect; the correct comparison is that \(\frac{3}{4}\) is greater than \(\frac{5}{8}\).

Answer:

\(\frac{3}{4}\) is greater than \(\frac{5}{8}\) (so the correct option for the dropdown should be "greater than" instead of "less than")