What is 3/5 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 3/5 of 96? We'll show you a straightforward method to achieve that.
How to calculate 3/5 of 96?
- Multiply the whole number by the numerator of the fraction: 96 × 3 = 288
- Divide this result by denominator of the fraction: 288/5 = 57.6
Since 288/5 is an improper fraction, the result could also be expressed as a mixed number: 57 3/5
How does it work?
The principle behind finding a fraction of a number, such as 3/5 of 96, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/5 of 96)
- 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, 3/5 of 96 is equal to 288/5 (or 57.6 in its decimal form).