What is 2/4 of 32?
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 32? We'll show you a straightforward method to achieve that.
How to calculate 2/4 of 32?
- Multiply the whole number by the numerator of the fraction: 32 × 2 = 64
- Divide this result by denominator of the fraction: 64/4 = 16
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 64/4 = 16
- 4/4 = 1
- Which gives: 16/1
How does it work?
The principle behind finding a fraction of a number, such as 2/4 of 32, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/4 of 32)
- 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 32 is equal to 16/1 (or 16 in its decimal form).