What is 10/5 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 10/5 of 23? We'll show you a straightforward method to achieve that.
How to calculate 10/5 of 23?
- Multiply the whole number by the numerator of the fraction: 23 × 10 = 230
- Divide this result by denominator of the fraction: 230/5 = 46
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 230/5 = 46
- 5/5 = 1
- Which gives: 46/1
How does it work?
The principle behind finding a fraction of a number, such as 10/5 of 23, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/5 of 23)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result: (or )
Thus, 10/5 of 23 is equal to 46/1 (or 46 in its decimal form).