What is the reciprocal of 8/19? What is the reciprocal of 1 1/4? What is the reciprocal of 1/13?

Question

asked Sep 15, 2017 139k views

2 Answers

Maxim Sloyko · Answer 1 · 2017-09-16T12:23:50+0000

In order to find the reciprocal of the first fraction, we should flop it over:

$\sf{\displaystyle(19)/(8)}$

$\uparrow\sf{reciprocal~of~(8)/(19)}$

The second fraction will require more work, because we need to convert it into an improper fraction first.

Trust me, it's easy :)

This is our fraction:-

$\sf{2\displaystyle(1)/(4)}$

Now, multiply 2 times 4 and add 1. This is the numerator of our improper fraction:-

$\sf{\displaystyle(9)/(4)}$

Now, just flop it over, like the first fraction:-

$\sf{\displaystyle(4)/(9)}$

$\uparrow\sf{reciprocal}$

In order to find the reciprocal of the third fraction, we should just flop it over:-

$\sf{\displaystyle(13)/(1)}$

$\boxed{\pmb{13}}$

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)