What is 10/6 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 10/6 of 93? We'll show you a straightforward method to achieve that.
How to calculate 10/6 of 93?
- Multiply the whole number by the numerator of the fraction: 93 × 10 = 930
- Divide this result by denominator of the fraction: 930/6 = 155
- Simplify by dividing both the numerator and denominator by their GCD (6):
- 930/6 = 155
- 6/6 = 1
- Which gives: 155/1
How does it work?
The principle behind finding a fraction of a number, such as 10/6 of 93, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/6 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, 10/6 of 93 is equal to 155/1 (or 155 in its decimal form).