What is 10/9 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 10/9 of 95? We'll show you a straightforward method to achieve that.
How to calculate 10/9 of 95?
- Multiply the whole number by the numerator of the fraction: 95 × 10 = 950
- Divide this result by denominator of the fraction: 950/9 = 105.55555555556
Since 950/9 is an improper fraction, the result could also be expressed as a mixed number: 105 5/9
How does it work?
The principle behind finding a fraction of a number, such as 10/9 of 95, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/9 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:
Thus, 10/9 of 95 is equal to 950/9 (or 105.55555555556 in its decimal form).