What is 8/3 of 76?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/3 of 76? We'll show you a straightforward method to achieve that.
How to calculate 8/3 of 76?
- Multiply the whole number by the numerator of the fraction: 76 × 8 = 608
- Divide this result by denominator of the fraction: 608/3 = 202.66666666667
Since 608/3 is an improper fraction, the result could also be expressed as a mixed number: 202 2/3
How does it work?
The principle behind finding a fraction of a number, such as 8/3 of 76, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/3 of 76)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 3 to isolate x:
- Which gives the result:
Thus, 8/3 of 76 is equal to 608/3 (or 202.66666666667 in its decimal form).