diff --git a/docs/maths/ratio.md b/docs/maths/ratio.md
index 4cb2f3f4..cb45e014 100644
--- a/docs/maths/ratio.md
+++ b/docs/maths/ratio.md
@@ -26,42 +26,46 @@ struct ratio
 
 If `INT_MAX` > `INT32_MAX`
 ```cpp
-typedef ratio<1, 1000000000000000000000000> yocto;
-typedef ratio<1, 1000000000000000000000>    zepto;
-typedef ratio<1, 1000000000000000000>       atto;
-typedef ratio<1, 1000000000000000>          femto;
-typedef ratio<1, 1000000000000>             pico;
+typedef ratio<1, 1000000000000000000LL * 1000000000000LL> quecto;
+typedef ratio<1, 1000000000000000000LL * 1000000000LL>    ronto;
+typedef ratio<1, 1000000000000000000000000LL> yocto;
+typedef ratio<1, 1000000000000000000000>      zepto;
+typedef ratio<1, 1000000000000000000>         atto;
+typedef ratio<1, 1000000000000000>            femto;
+typedef ratio<1, 1000000000000>               pico;
 ```
 
 If `INT_MAX` >= `INT32_MAX`
 ```cpp
-typedef ratio<1, 1000000000>                nano;
-typedef ratio<1, 1000000>                   micro;
+typedef ratio<1, 1000000000>                  nano;
+typedef ratio<1, 1000000>                     micro;
 ```
 
 If `INT_MAX` >= `INT16_MAX`
 ```cpp
-typedef ratio<1, 1000>                      milli;
-typedef ratio<1, 100>                       centi;
-typedef ratio<1, 10>                        deci;
-typedef ratio<10, 1>                        deca;
-typedef ratio<100, 1>                       hecto;
-typedef ratio<1000, 1>                      kilo;
+typedef ratio<1, 1000>                        milli;
+typedef ratio<1, 100>                         centi;
+typedef ratio<1, 10>                          deci;
+typedef ratio<10, 1>                          deca;
+typedef ratio<100, 1>                         hecto;
+typedef ratio<1000, 1>                        kilo;
 ```
 
 If `INT_MAX` >= `INT32_MAX`
 ```cpp
-typedef ratio<1000000, 1>                   mega;
-typedef ratio<1000000000, 1>                giga;
+typedef ratio<1000000, 1>                     mega;
+typedef ratio<1000000000, 1>                  giga;
 ```
 
 If `INT_MAX` > `INT32_MAX`
 ```cpp
-typedef ratio<1000000000000, 1>             tera;
-typedef ratio<1000000000000000, 1>          peta;
-typedef ratio<1000000000000000000, 1>       exa;
-typedef ratio<1000000000000000000000, 1>    zetta;
-typedef ratio<1000000000000000000000000, 1> yotta;
+typedef ratio<1000000000000, 1>               tera;
+typedef ratio<1000000000000000, 1>            peta;
+typedef ratio<1000000000000000000, 1>         exa;
+typedef ratio<1000000000000000000000, 1>      zetta;
+typedef ratio<1000000000000000000000000LL, 1> yotta;
+typedef ratio<1000000000000000000LL * 1000000000LL, 1>    ronna;
+typedef ratio<1000000000000000000LL * 1000000000000LL, 1> quetta;
 ```
 
 An approximation of PI to 6 digits.
@@ -74,6 +78,11 @@ An approximation of root 2.
 typedef ratio<239, 169> ratio_root2;
 ```
 
+An approximation of 1 over root 2.
+```cpp
+typedef ratio<169, 239> ratio_1_over_root2;
+```
+
 An approximation of e.
 ```cpp
 typedef ratio<326, 120> ratio_e;