What is 4/3 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 4/3 of 83? We'll show you a straightforward method to achieve that.
How to calculate 4/3 of 83?
- Multiply the whole number by the numerator of the fraction: 83 × 4 = 332
- Divide this result by denominator of the fraction: 332/3 = 110.66666666667
Since 332/3 is an improper fraction, the result could also be expressed as a mixed number: 110 2/3
How does it work?
The principle behind finding a fraction of a number, such as 4/3 of 83, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/3 of 83)
- 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, 4/3 of 83 is equal to 332/3 (or 110.66666666667 in its decimal form).