What is 2/3 of 68?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/3 of 68? We'll show you a straightforward method to achieve that.
How to calculate 2/3 of 68?
- Multiply the whole number by the numerator of the fraction: 68 × 2 = 136
- Divide this result by denominator of the fraction: 136/3 = 45.333333333333
Since 136/3 is an improper fraction, the result could also be expressed as a mixed number: 45 1/3
How does it work?
The principle behind finding a fraction of a number, such as 2/3 of 68, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/3 of 68)
- 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, 2/3 of 68 is equal to 136/3 (or 45.333333333333 in its decimal form).