What is 5/6 of 10?
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 10? We'll show you a straightforward method to achieve that.
How to calculate 5/6 of 10?
- Multiply the whole number by the numerator of the fraction: 10 × 5 = 50
- Divide this result by denominator of the fraction: 50/6 = 8.3333333333333
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 50/2 = 25
- 6/2 = 3
- Which gives: 25/3
Since 25/3 is an improper fraction, the result could also be expressed as a mixed number: 8 1/3
How does it work?
The principle behind finding a fraction of a number, such as 5/6 of 10, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/6 of 10)
- 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 10 is equal to 25/3 (or 8.3333333333333 in its decimal form).