Question

What is the reciprocal of 1 2/7 ?

Answer 1

Answer:

Step-by-step explanation:

0.777777778

Answer 2

Answer:

∴ Reciprocal of $1\frac{2}{7}$ = $\frac{7}{9}$  

Step-by-step explanation:

Given : The mixed fraction = $1\frac{2}{7}$

To find : The reciprocal of given mixed fraction.

Solution :

• The given mixed fraction is $1\frac{2}{7}$.
• We have to find the reciprocal of given mixed fraction.
• Mixed fraction is a fraction which have whole number and a fraction also.
• Mixed fraction can be converted into improper fraction by,

       $a\frac{b}{c} = \frac{c*a+b}{c}$

• Reciprocal is the multiplicative inverse of a number.

    Reciprocal of $x=\frac{1}{x}$

• Now, the given mixed fraction is,

          $1\frac{2}{7}$

• Converting mixed fraction into improper fraction, we get

           $1\frac{2}{7}=\frac{7*1+2}{7}$

               = $\frac{9}{7}$

• Reciprocal of $\frac{9}{7}$ = $\frac{7}{9}$  
• ∴ Reciprocal of $1\frac{2}{7}$ = $\frac{7}{9}$