What is 8/9 of 83?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/9 of 83? We'll show you a straightforward method to achieve that.
How to calculate 8/9 of 83?
- Multiply the whole number by the numerator of the fraction: 83 × 8 = 664
- Divide this result by denominator of the fraction: 664/9 = 73.777777777778
Since 664/9 is an improper fraction, the result could also be expressed as a mixed number: 73 7/9
How does it work?
The principle behind finding a fraction of a number, such as 8/9 of 83, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/9 of 83)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 9 to isolate x:
- Which gives the result:
Thus, 8/9 of 83 is equal to 664/9 (or 73.777777777778 in its decimal form).