RECIPROCAL: Reffered to multiplicative inverse. When 1 is divided by x, multiplyed by x, it will gived the product of 1.
Zero does not have a reciprocal.
How reciprocal is used in math: Reciprocal is quicker and easier than dividing fractions. Reciprocal is also used when you are doing ratio tables.
What is the reciprocal of 3/1? It's 1/3, we just flip the numerators and denominators.
The ratio table
Here, I'll show you 3/4 divided by 2/5 using a ratio table.
1) 3/4 divided by 3/5
This question means... How many groups of 3/5 are in 3/4?
The reciprocal of 3/5 is 5/3, and the reciprocal of 3/4 is 4/3.
The answer is going to be more than 1 because 3/4 is larger than 3/5.
2) 3/5 divided by 3/4
This question means... How many groups of 3/4 are in 3/5?
The reciprocal of 3/4 is 4/3, and the reciprocal of 3/5 is 5/3.
The answer is going to be less than 1 because 3/5 is smaller than 3/4.