diff --git a/guide/english/mathematics/reciprocal/index.md b/guide/english/mathematics/reciprocal/index.md
index f6bac8f5f0..61a312f271 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 1⁄3
+The reciprocal of 3 is 1⁄3.
-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
-1⁄3 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 2⁄3 is 3⁄2.
+The reciprocal of 2⁄3 is 3⁄2 since 1/(2⁄3) = 3/2, or (2⁄3)-1 = 3/2.
### 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 1⁄23. Now if we take the reciprocal of 1⁄23 and filp the fraction, we get 23⁄1 which is the original number.
+The reciprocal of 23 is 1⁄23. Now if we look at the reciprocal of 1⁄23 we get 23⁄1, 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 1⁄16. If you multiply 1⁄16 with 16, you get 1.
-
-3. Zero does not have a reciprocal
-
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-#### More Information:
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+The reciprocal of 16 is 1⁄16. If you multiply 1⁄16 by 16, you get 1.