(a/b)/c simplifies to bca :
cba=ba×c1=b×ca
To understand the formula (a/b)/c, let's break it down into its components and how to simplify it:
Start with the inner division: a/b.
Then, divide the result by c.
Mathematically, (a/b)/c can be written as:
cba
This expression can be simplified further. Division by a number is the same as multiplying by its reciprocal. Thus:
cba=ba×c1=b×ca
So, (a/b)/c simplifies to bca.
Suppose a=10, b=2, and c=5 .
Calculate a/b:
210=5
Then divide by c:
55=1
Using the simplified formula:
bca=2×510=1010=1
Both methods yield the same result, confirming the simplification is correct.