What is 4/5 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 4/5 of 82? We'll show you a straightforward method to achieve that.
How to calculate 4/5 of 82?
- Multiply the whole number by the numerator of the fraction: 82 × 4 = 328
- Divide this result by denominator of the fraction: 328/5 = 65.6
Since 328/5 is an improper fraction, the result could also be expressed as a mixed number: 65 3/5
How does it work?
The principle behind finding a fraction of a number, such as 4/5 of 82, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/5 of 82)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result:
Thus, 4/5 of 82 is equal to 328/5 (or 65.6 in its decimal form).