What is 3/1 of 75?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/1 of 75? We'll show you a straightforward method to achieve that.
How to calculate 3/1 of 75?
- Multiply the whole number by the numerator of the fraction: 75 × 3 = 225
- Divide this result by denominator of the fraction: 225/1 = 225
How does it work?
The principle behind finding a fraction of a number, such as 3/1 of 75, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/1 of 75)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 1 to isolate x:
- Which gives the result:
Thus, 3/1 of 75 is equal to 225/1 (or 225 in its decimal form).