What is the reciprocal of 6/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 6/7. The reciprocal of a fraction is found by swapping the numerator and the denominator, which means the reciprocal of 6/7 is 7/6.
Answer
The reciprocal of \( \frac{6}{7} \) is \( \frac{7}{6} \).
Answer for screen readers
The reciprocal of ( \frac{6}{7} ) is ( \frac{7}{6} ).
Steps to Solve

Identify the fraction First, recognize that we have the fraction ( \frac{6}{7} ).

Understand the reciprocal concept The reciprocal of a fraction is found by switching the numerator and the denominator.

Calculate the reciprocal For the fraction ( \frac{6}{7} ), switch ( 6 ) and ( 7 ) to find the reciprocal: $$ \text{Reciprocal} = \frac{7}{6} $$
The reciprocal of ( \frac{6}{7} ) is ( \frac{7}{6} ).
More Information
When you find the reciprocal of a number or fraction, you essentially are finding a value that, when multiplied with the original number, will yield 1. For example, ( \frac{6}{7} \times \frac{7}{6} = 1 ).
Tips
 A common mistake is to think the reciprocal of a fraction involves just flipping the values without understanding that it involves both the numerator and the denominator. Remember to switch both parts!