What is 5/9 of 21?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/9 of 21? We'll show you a straightforward method to achieve that.
How to calculate 5/9 of 21?
- Multiply the whole number by the numerator of the fraction: 21 × 5 = 105
- Divide this result by denominator of the fraction: 105/9 = 11.666666666667
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 105/3 = 35
- 9/3 = 3
- Which gives: 35/3
Since 35/3 is an improper fraction, the result could also be expressed as a mixed number: 11 2/3
How does it work?
The principle behind finding a fraction of a number, such as 5/9 of 21, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/9 of 21)
- 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: (or )
Thus, 5/9 of 21 is equal to 35/3 (or 11.666666666667 in its decimal form).