What is 2/6 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 2/6 of 79? We'll show you a straightforward method to achieve that.
How to calculate 2/6 of 79?
- Multiply the whole number by the numerator of the fraction: 79 × 2 = 158
- Divide this result by denominator of the fraction: 158/6 = 26.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 158/2 = 79
- 6/2 = 3
- Which gives: 79/3
Since 79/3 is an improper fraction, the result could also be expressed as a mixed number: 26 1/3
How does it work?
The principle behind finding a fraction of a number, such as 2/6 of 79, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/6 of 79)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 2/6 of 79 is equal to 79/3 (or 26.333333333333 in its decimal form).