What is 10/3 of 2?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/3 of 2? We'll show you a straightforward method to achieve that.
How to calculate 10/3 of 2?
- Multiply the whole number by the numerator of the fraction: 2 × 10 = 20
- Divide this result by denominator of the fraction: 20/3 = 6.6666666666667
Since 20/3 is an improper fraction, the result could also be expressed as a mixed number: 6 2/3
How does it work?
The principle behind finding a fraction of a number, such as 10/3 of 2, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/3 of 2)
- 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, 10/3 of 2 is equal to 20/3 (or 6.6666666666667 in its decimal form).