What is 2/9 of 67?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/9 of 67? We'll show you a straightforward method to achieve that.
How to calculate 2/9 of 67?
- Multiply the whole number by the numerator of the fraction: 67 × 2 = 134
- Divide this result by denominator of the fraction: 134/9 = 14.888888888889
Since 134/9 is an improper fraction, the result could also be expressed as a mixed number: 14 8/9
How does it work?
The principle behind finding a fraction of a number, such as 2/9 of 67, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/9 of 67)
- 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, 2/9 of 67 is equal to 134/9 (or 14.888888888889 in its decimal form).