What is 2/9 of 96?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/9 of 96? We'll show you a straightforward method to achieve that.
How to calculate 2/9 of 96?
- Multiply the whole number by the numerator of the fraction: 96 × 2 = 192
- Divide this result by denominator of the fraction: 192/9 = 21.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 192/3 = 64
- 9/3 = 3
- Which gives: 64/3
Since 64/3 is an improper fraction, the result could also be expressed as a mixed number: 21 1/3
How does it work?
The principle behind finding a fraction of a number, such as 2/9 of 96, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/9 of 96)
- 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, 2/9 of 96 is equal to 64/3 (or 21.333333333333 in its decimal form).