What is 10/4 of 23?
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 23? We'll show you a straightforward method to achieve that.
How to calculate 10/4 of 23?
- Multiply the whole number by the numerator of the fraction: 23 × 10 = 230
- Divide this result by denominator of the fraction: 230/4 = 57.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 230/2 = 115
- 4/2 = 2
- Which gives: 115/2
Since 115/2 is an improper fraction, the result could also be expressed as a mixed number: 57 1/2
How does it work?
The principle behind finding a fraction of a number, such as 10/4 of 23, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/4 of 23)
- 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 23 is equal to 115/2 (or 57.5 in its decimal form).