What is 1/8 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 1/8 of 82? We'll show you a straightforward method to achieve that.
How to calculate 1/8 of 82?
- Multiply the whole number by the numerator of the fraction: 82 × 1 = 82
- Divide this result by denominator of the fraction: 82/8 = 10.25
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 82/2 = 41
- 8/2 = 4
- Which gives: 41/4
Since 41/4 is an improper fraction, the result could also be expressed as a mixed number: 10 1/4
How does it work?
The principle behind finding a fraction of a number, such as 1/8 of 82, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/8 of 82)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 1/8 of 82 is equal to 41/4 (or 10.25 in its decimal form).