What is 5/2 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 5/2 of 67? We'll show you a straightforward method to achieve that.
How to calculate 5/2 of 67?
- Multiply the whole number by the numerator of the fraction: 67 × 5 = 335
- Divide this result by denominator of the fraction: 335/2 = 167.5
Since 335/2 is an improper fraction, the result could also be expressed as a mixed number: 167 1/2
How does it work?
The principle behind finding a fraction of a number, such as 5/2 of 67, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/2 of 67)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 2 to isolate x:
- Which gives the result:
Thus, 5/2 of 67 is equal to 335/2 (or 167.5 in its decimal form).