Final answer:
To find the reciprocal of 6 5/7, first convert the mixed number into an improper fraction. Then, flip the numerator and denominator to find the reciprocal.
Step-by-step explanation:
The first step in finding the reciprocal of 6 5/7 is to convert the mixed number into an improper fraction. To do this, multiply the whole number (6) by the denominator of the fraction (7) and add the numerator (5). This gives us 6 * 7 + 5 = 47.
So, the mixed number 6 5/7 can be written as the improper fraction 47/7.
After converting the mixed number to an improper fraction, we can find the reciprocal by simply flipping the numerator and denominator.
Therefore, the reciprocal of 6 5/7 is 7/47.
Learn more about Finding the reciprocal of a mixed number