From fcf789912c8cde57217b79fbb5a44e657cdfacdc Mon Sep 17 00:00:00 2001
From: Alexander Molnar <37451552+BTmathic@users.noreply.github.com>
Date: Tue, 6 Nov 2018 21:50:34 -0500
Subject: [PATCH] Fix typo (#34223)

Fixed typos, and reordered things.
---
 guide/english/mathematics/reciprocal/index.md | 27 ++++++-------------
 1 file changed, 8 insertions(+), 19 deletions(-)

diff --git a/guide/english/mathematics/reciprocal/index.md b/guide/english/mathematics/reciprocal/index.md
index f6bac8f5f07..61a312f2715 100644
--- a/guide/english/mathematics/reciprocal/index.md
+++ b/guide/english/mathematics/reciprocal/index.md
@@ -3,38 +3,27 @@ title: Reciprocal
 ---
 ## Reciprocal
 
-The **reciprocal** of a number is 1 divided by that number.
+The **reciprocal** of a number is 1 divided by that number. Every non-zero number has a reciprocal, and 0 does not.
 
 #### Example 
 
-The reciprocal of 3 is <sup>1</sup>⁄<sub>3</sub>
+The reciprocal of 3 is <sup>1</sup>⁄<sub>3</sub>.
 
-A **reciprocal** can also be defined as a number taken to the power of -1.
+You can also get the reciprocal of a fraction by flipping the fraction, or equivalently, the reciprocal of a number can be defined as that number taken to the power of -1.
 
 #### Example 
 
-<sup>1</sup>⁄<sub>3</sub> is same as 8 to the power of -1.
-
-You can also take a reciprocal of a fraction by flipping the fraction. 
-For instance, reciprocal of <sup>2</sup>⁄<sub>3</sub> is <sup>3</sup>⁄<sub>2</sub>.
+The reciprocal of <sup>2</sup>⁄<sub>3</sub> is <sup>3</sup>⁄<sub>2</sub> since 1/(<sup>2</sup>⁄<sub>3</sub>) = <sup>3</sup>/<sub>2</sub>, or (<sup>2</sup>⁄<sub>3</sub>)<sup>-1</sup> = <sup>3</sup>/<sub>2</sub>.
 
 ### Note
-1. Reciprocal of a reciprocal is the original number.
+1. The reciprocal of the reciprocal of a number is the original number.
 
 #### Example 
 
-Reciprocal of 23 is <sup>1</sup>⁄<sub>23</sub>. Now if we take the reciprocal of <sup>1</sup>⁄<sub>23</sub> and filp the fraction, we get <sup>23</sup>⁄<sub>1</sub> which is the original number.
+The reciprocal of 23 is <sup>1</sup>⁄<sub>23</sub>. Now if we look at the reciprocal of <sup>1</sup>⁄<sub>23</sub> we get <sup>23</sup>⁄<sub>1</sub>, which is the original number.
 
-2. If you multiply a number by its reciprocal, you always get 1.
+2. If you multiply a non-zero number by its reciprocal, you always get 1.
 
 #### Example 
 
-Reciprocal of 16 is <sup>1</sup>⁄<sub>16</sub>. If you multiply <sup>1</sup>⁄<sub>16</sub> with 16, you get 1.
-
-3. Zero does not have a reciprocal
-
-
-#### More Information:
-<!-- Please add any articles you think might be helpful to read before writing the article -->
-
-
+The reciprocal of 16 is <sup>1</sup>⁄<sub>16</sub>. If you multiply <sup>1</sup>⁄<sub>16</sub> by 16, you get 1.