What is 2/4 of 25?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/4 of 25? We'll show you a straightforward method to achieve that.
How to calculate 2/4 of 25?
- Multiply the whole number by the numerator of the fraction: 25 × 2 = 50
- Divide this result by denominator of the fraction: 50/4 = 12.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 50/2 = 25
- 4/2 = 2
- Which gives: 25/2
Since 25/2 is an improper fraction, the result could also be expressed as a mixed number: 12 1/2
How does it work?
The principle behind finding a fraction of a number, such as 2/4 of 25, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/4 of 25)
- 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, 2/4 of 25 is equal to 25/2 (or 12.5 in its decimal form).