How do you find the reciprocal of 6?

Oct 24, 2016

The reciprocal of $\frac{6}{1} \text{ is " 1/6 " } \rightarrow \frac{6}{1} \times \frac{1}{6} = 1$

Explanation:

Another name for a 'reciprocal' is a 'multiplicative inverse', or 'multiplying opposite'

When you multiply any number by its reciprocal, they cancel each other out and you are left with a product of $1$.

The reciprocal of $\frac{2}{3} \text{ is " 3/2 " } \rightarrow \frac{2}{3} \times \frac{3}{2} = 1$

The reciprocal of $- \frac{5}{2} \text{ is " -2/5 " } \rightarrow - \frac{5}{2} \times - \frac{2}{5} = 1$

The reciprocal of $\frac{a}{b} \text{ is " b/a " } \rightarrow \frac{a}{b} \times \frac{b}{a} = 1$

This is the same for whole numbers as well: $6 = \frac{6}{1}$

The reciprocal of $\frac{6}{1} \text{ is " 1/6 " } \rightarrow \frac{6}{1} \times \frac{1}{6} = 1$