What is 5/6 of 93?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/6 of 93? We'll show you a straightforward method to achieve that.
How to calculate 5/6 of 93?
- Multiply the whole number by the numerator of the fraction: 93 × 5 = 465
- Divide this result by denominator of the fraction: 465/6 = 77.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 465/3 = 155
- 6/3 = 2
- Which gives: 155/2
Since 155/2 is an improper fraction, the result could also be expressed as a mixed number: 77 1/2
How does it work?
The principle behind finding a fraction of a number, such as 5/6 of 93, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/6 of 93)
- 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, 5/6 of 93 is equal to 155/2 (or 77.5 in its decimal form).