What is 10/8 of 12?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/8 of 12? We'll show you a straightforward method to achieve that.
How to calculate 10/8 of 12?
- Multiply the whole number by the numerator of the fraction: 12 × 10 = 120
- Divide this result by denominator of the fraction: 120/8 = 15
- Simplify by dividing both the numerator and denominator by their GCD (8):
- 120/8 = 15
- 8/8 = 1
- Which gives: 15/1
How does it work?
The principle behind finding a fraction of a number, such as 10/8 of 12, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/8 of 12)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 10/8 of 12 is equal to 15/1 (or 15 in its decimal form).