What is 3/2 of 79?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/2 of 79? We'll show you a straightforward method to achieve that.
How to calculate 3/2 of 79?
- Multiply the whole number by the numerator of the fraction: 79 × 3 = 237
- Divide this result by denominator of the fraction: 237/2 = 118.5
Since 237/2 is an improper fraction, the result could also be expressed as a mixed number: 118 1/2
How does it work?
The principle behind finding a fraction of a number, such as 3/2 of 79, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/2 of 79)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 2 to isolate x:
- Which gives the result:
Thus, 3/2 of 79 is equal to 237/2 (or 118.5 in its decimal form).