Question

The sum of rational number 3/7 and its reciprocal is

Answer 1

= 3/7

= 21/7

Ans. The reciprocal of 3/7 is = 21/7

Answer 2

The sum of rational number 3/7 and its reciprocal is 58/21

Given :

The number 3/7

To find :

The sum of rational number 3/7 and its reciprocal

Solution :

Step 1 of 3 :

Define reciprocal of a number

We know that a number m is said to be reciprocal of n if m × n = 1

More precisely

$\displaystyle \sf{ The \: reciprocal \: of \: n \: is \: \: \frac{1}{n} }$

Step 2 of 3 :

Find the reciprocal of 3/7

$\displaystyle \sf{Here \: the \: given \: number \: is \: \frac{3}{7} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: \frac{3}{7} }$

So by the given condition

$\displaystyle \sf{ n \times \bigg(\frac{3}{7}\bigg) = 1 }$

$\displaystyle \sf{ \implies \: n = \frac{7}{3} }$

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{3}{7} } \: \: is \: \: \frac{7}{3}$

Step 3 of 3 :

Calculate sum of rational number 3/7 and its reciprocal

The sum of rational number 3/7 and its reciprocal

$\displaystyle \sf = \frac{3}{7} + \frac{7}{3}$

$\displaystyle \sf = \frac{9 + 49}{21}$

$\displaystyle \sf = \frac{58}{21}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Additive inverse of 2 by minus 9

https://brainly.in/question/16743374

2. Find the sum of additive inverse and multiplicative inverse of 5

https://brainly.in/question/1174847

3. find the multiplicative inverse of - 13

https://brainly.in/question/18470186

#SPJ3