Question

RECIPROCALS Find the reciprocal. $$ \frac{6}{11} $$

Short answer

The reciprocal of \(\frac{6}{11}\) is \(\frac{11}{6}\)

Step-by-step solution

Understanding the Concept of Reciprocal

The reciprocal of a number is a value which when multiplied with the original number gives 1. This concept is commonly used with fractions. In case of fractions, one can obtain the reciprocal by switching the numerator and the denominator. For instance, the reciprocal of \(\frac{a}{b}\) is \(\frac{b}{a}\).

Finding the Reciprocal of the Given Fraction

The given fraction is \(\frac{6}{11}\). Applying the concept of reciprocal, the numerator and denominator are switched to get the reciprocal. So the reciprocal of \(\frac{6}{11}\) is \(\frac{11}{6}\).