diff --git a/content/blog/modulo_patterns/index.md b/content/blog/modulo_patterns/index.md
index 8fb4307..9fd5add 100644
--- a/content/blog/modulo_patterns/index.md
+++ b/content/blog/modulo_patterns/index.md
@@ -115,7 +115,7 @@ deduce that \\(b-r\\) is divisible by \\(a\\) (it's literally equal to \\(a\\) t
 so it must be divisible). Thus, we can write:
 
 {{< latex >}}
-    (b-r)|a
+    a|(b-r)
 {{< /latex >}}
 
 There's another notation for this type of statement, though. To say that the difference between
@@ -203,7 +203,7 @@ The results are similarly cool:
 ### Sequences of Remainders
 So now we know what the digit-summing algorithm is really doing. But that algorithm isn't all there
 is to it! We're repeatedly applying this algorithm over and over to multiples of another number. How
-does this work, and why does it always loop around? Why don't we ever spiral further and further
+does this work, and why does it always loop around? Why don't we ever spiral farther and farther
 from the center?
 
 First, let's take a closer look at our sequence of multiples. Suppose we're working with multiples