What is 3/3 of 20?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/3 of 20? We'll show you a straightforward method to achieve that.
How to calculate 3/3 of 20?
- Multiply the whole number by the numerator of the fraction: 20 × 3 = 60
- Divide this result by denominator of the fraction: 60/3 = 20
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 60/3 = 20
- 3/3 = 1
- Which gives: 20/1
How does it work?
The principle behind finding a fraction of a number, such as 3/3 of 20, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/3 of 20)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 3 to isolate x:
- Which gives the result: (or )
Thus, 3/3 of 20 is equal to 20/1 (or 20 in its decimal form).