What is 10/9 of 14?
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 14? We'll show you a straightforward method to achieve that.
How to calculate 10/9 of 14?
- Multiply the whole number by the numerator of the fraction: 14 × 10 = 140
- Divide this result by denominator of the fraction: 140/9 = 15.555555555556
Since 140/9 is an improper fraction, the result could also be expressed as a mixed number: 15 5/9
How does it work?
The principle behind finding a fraction of a number, such as 10/9 of 14, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/9 of 14)
- 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 14 is equal to 140/9 (or 15.555555555556 in its decimal form).