AP TET Paper 2 Math and Science Model Paper 4

Concept:The multiplicative inverse of a number is its reciprocal.When a number is multiplied by its multiplicative inverse, the product is always $1$.To find the multiplicative inverse of a fraction $\frac{a}{b}$, swap the numerator and denominator to get $\frac{b}{a}$.For a mixed fraction, first convert it into an improper fraction, then take the reciprocal.Explanation:Convert the given mixed fraction $5\frac{1}{3}$ into an improper fraction.Use the formula: $5\frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{16}{3}$.The multiplicative inverse of $\frac{16}{3}$ is obtained by interchanging the numerator and denominator, giving $\frac{3}{16}$.Verification: $\frac{16}{3} \times \frac{3}{16} = 1$. So $\frac{3}{16}$ is the correct multiplicative inverse.Convert $\frac{3}{16}$ into decimal form: $3 \div 16 = 0.1875$.Therefore, the correct choice is Option C.Answer:The multiplicative inverse of $5\frac{1}{3}$ is $0.1875$ (Option C).