What is 4/9 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 4/9 of 14? We'll show you a straightforward method to achieve that.
How to calculate 4/9 of 14?
- Multiply the whole number by the numerator of the fraction: 14 × 4 = 56
- Divide this result by denominator of the fraction: 56/9 = 6.2222222222222
Since 56/9 is an improper fraction, the result could also be expressed as a mixed number: 6 2/9
How does it work?
The principle behind finding a fraction of a number, such as 4/9 of 14, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/9 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, 4/9 of 14 is equal to 56/9 (or 6.2222222222222 in its decimal form).