What is 10/4 of 82?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/4 of 82? We'll show you a straightforward method to achieve that.
How to calculate 10/4 of 82?
- Multiply the whole number by the numerator of the fraction: 82 × 10 = 820
- Divide this result by denominator of the fraction: 820/4 = 205
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 820/4 = 205
- 4/4 = 1
- Which gives: 205/1
How does it work?
The principle behind finding a fraction of a number, such as 10/4 of 82, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/4 of 82)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result: (or )
Thus, 10/4 of 82 is equal to 205/1 (or 205 in its decimal form).