What is 9/5 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 9/5 of 14? We'll show you a straightforward method to achieve that.
How to calculate 9/5 of 14?
- Multiply the whole number by the numerator of the fraction: 14 × 9 = 126
- Divide this result by denominator of the fraction: 126/5 = 25.2
Since 126/5 is an improper fraction, the result could also be expressed as a mixed number: 25 1/5
How does it work?
The principle behind finding a fraction of a number, such as 9/5 of 14, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/5 of 14)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result:
Thus, 9/5 of 14 is equal to 126/5 (or 25.2 in its decimal form).