What is 9/2 of 71?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/2 of 71? We'll show you a straightforward method to achieve that.
How to calculate 9/2 of 71?
- Multiply the whole number by the numerator of the fraction: 71 × 9 = 639
- Divide this result by denominator of the fraction: 639/2 = 319.5
Since 639/2 is an improper fraction, the result could also be expressed as a mixed number: 319 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/2 of 71, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/2 of 71)
- 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, 9/2 of 71 is equal to 639/2 (or 319.5 in its decimal form).