Question

Which of the following options shows a correct comparison?

A. $\frac{1}{6}<\frac{1}{8}$

B. $\frac{2}{3}=\frac{4}{6}$

C. $\frac{3}{4}=\frac{7}{8}$

D. $\frac{4}{8}<\frac{5}{8}$

• A. All options show correct equations.
• B. Options A and D
• C. Options B and D
  
• D. Options A and D

Answer 1

The correct option is C Options B and D


A. $\frac{1}{6}<\frac{1}{8}$

When the numerators are the same, the fraction with the larger denominator is smaller. So, this comparison is incorrect

B. $\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$ So, this comparison is correct

C. $\frac{3}{4}=\frac{3\times 2}{4\times 2}=\frac{6}{8}$ So, this comparison is incorrect.

D. $\frac{4}{8}<\frac{5}{8}$

When the denominators are the same, the fraction with the larger numerator is larger. So, this comparison is correct.
Hence, options B and D show correct comparison.