What is 10/2 of 33?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/2 of 33? We'll show you a straightforward method to achieve that.
How to calculate 10/2 of 33?
- Multiply the whole number by the numerator of the fraction: 33 × 10 = 330
- Divide this result by denominator of the fraction: 330/2 = 165
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 330/2 = 165
- 2/2 = 1
- Which gives: 165/1
How does it work?
The principle behind finding a fraction of a number, such as 10/2 of 33, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/2 of 33)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 2 to isolate x:
- Which gives the result: (or )
Thus, 10/2 of 33 is equal to 165/1 (or 165 in its decimal form).