What is 3/9 of 95?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/9 of 95? We'll show you a straightforward method to achieve that.
How to calculate 3/9 of 95?
- Multiply the whole number by the numerator of the fraction: 95 × 3 = 285
- Divide this result by denominator of the fraction: 285/9 = 31.666666666667
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 285/3 = 95
- 9/3 = 3
- Which gives: 95/3
Since 95/3 is an improper fraction, the result could also be expressed as a mixed number: 31 2/3
How does it work?
The principle behind finding a fraction of a number, such as 3/9 of 95, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/9 of 95)
- 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: (or )
Thus, 3/9 of 95 is equal to 95/3 (or 31.666666666667 in its decimal form).