What is 9/10 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 9/10 of 95? We'll show you a straightforward method to achieve that.
How to calculate 9/10 of 95?
- Multiply the whole number by the numerator of the fraction: 95 × 9 = 855
- Divide this result by denominator of the fraction: 855/10 = 85.5
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 855/5 = 171
- 10/5 = 2
- Which gives: 171/2
Since 171/2 is an improper fraction, the result could also be expressed as a mixed number: 85 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/10 of 95, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/10 of 95)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 10 to isolate x:
- Which gives the result: (or )
Thus, 9/10 of 95 is equal to 171/2 (or 85.5 in its decimal form).