What is 10/6 of 30?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/6 of 30? We'll show you a straightforward method to achieve that.
How to calculate 10/6 of 30?
- Multiply the whole number by the numerator of the fraction: 30 × 10 = 300
- Divide this result by denominator of the fraction: 300/6 = 50
- Simplify by dividing both the numerator and denominator by their GCD (6):
- 300/6 = 50
- 6/6 = 1
- Which gives: 50/1
How does it work?
The principle behind finding a fraction of a number, such as 10/6 of 30, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/6 of 30)
- 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, 10/6 of 30 is equal to 50/1 (or 50 in its decimal form).