The fractions \(\frac{3}{4}, \frac{2}{3}, \frac{5}{6}, \frac{11}{18}\) when written in descending order are:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{5}{6}, \frac{3}{4}, \frac{2}{3}, \frac{11}{18}\)
Fractions are compared most easily when they have the same denominator; then the larger numerator gives the larger fraction. The LCM of 4, 3, 6 and 18 is 36.
\(\displaystyle \frac{3}{4}=\frac{27}{36}\)
\(\displaystyle \frac{2}{3}=\frac{24}{36}\)
\(\displaystyle \frac{5}{6}=\frac{30}{36}\)
\(\displaystyle \frac{11}{18}=\frac{22}{36}\)
The numerators in descending order are 30, 27, 24, 22, which gives \(\frac{5}{6}, \frac{3}{4}, \frac{2}{3}, \frac{11}{18}\).