What is 1/10 of 15?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/10 of 15? We'll show you a straightforward method to achieve that.
How to calculate 1/10 of 15?
- Multiply the whole number by the numerator of the fraction: 15 × 1 = 15
- Divide this result by denominator of the fraction: 15/10 = 1.5
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 15/5 = 3
- 10/5 = 2
- Which gives: 3/2
Since 3/2 is an improper fraction, the result could also be expressed as a mixed number: 1 1/2
How does it work?
The principle behind finding a fraction of a number, such as 1/10 of 15, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/10 of 15)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 10 to isolate x:
- Which gives the result: (or )
Thus, 1/10 of 15 is equal to 3/2 (or 1.5 in its decimal form).