Telangana TET Paper 1 Exam Model Paper 1

Concept:For fractions, the HCF is found by taking the HCF of the numerators and dividing it by the LCM of the denominators.Explanation:The given fractions are $\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}$.First, find the HCF of the numerators $1,2,3,4$. The highest common factor is $1$.Next, find the LCM of the denominators $2,3,4,5$.Prime factors: $2 = 2$, $3 = 3$, $4 = 2^{2}$, $5 = 5$.LCM = $2^{2} \times 3 \times 5 = 4 \times 3 \times 5 = 60$.Now apply the formula: HCF of fractions = $\frac{\text{HCF of numerators}}{\text{LCM of denominators}} = \frac{1}{60}$.Answer:$\frac{1}{60}$ (Option A).