What is 3/3 of 65?
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 65? We'll show you a straightforward method to achieve that.
How to calculate 3/3 of 65?
- Multiply the whole number by the numerator of the fraction: 65 × 3 = 195
- Divide this result by denominator of the fraction: 195/3 = 65
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 195/3 = 65
- 3/3 = 1
- Which gives: 65/1
How does it work?
The principle behind finding a fraction of a number, such as 3/3 of 65, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/3 of 65)
- 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 65 is equal to 65/1 (or 65 in its decimal form).