What is 10/4 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 10/4 of 15? We'll show you a straightforward method to achieve that.
How to calculate 10/4 of 15?
- Multiply the whole number by the numerator of the fraction: 15 × 10 = 150
- Divide this result by denominator of the fraction: 150/4 = 37.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 150/2 = 75
- 4/2 = 2
- Which gives: 75/2
Since 75/2 is an improper fraction, the result could also be expressed as a mixed number: 37 1/2
How does it work?
The principle behind finding a fraction of a number, such as 10/4 of 15, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/4 of 15)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result: (or )
Thus, 10/4 of 15 is equal to 75/2 (or 37.5 in its decimal form).