What is 3/5 of 76?
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 76? We'll show you a straightforward method to achieve that.
How to calculate 3/5 of 76?
- Multiply the whole number by the numerator of the fraction: 76 × 3 = 228
- Divide this result by denominator of the fraction: 228/5 = 45.6
Since 228/5 is an improper fraction, the result could also be expressed as a mixed number: 45 3/5
How does it work?
The principle behind finding a fraction of a number, such as 3/5 of 76, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/5 of 76)
- 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 76 is equal to 228/5 (or 45.6 in its decimal form).