What is 3/4 of 26?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/4 of 26? We'll show you a straightforward method to achieve that.
How to calculate 3/4 of 26?
- Multiply the whole number by the numerator of the fraction: 26 × 3 = 78
- Divide this result by denominator of the fraction: 78/4 = 19.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 78/2 = 39
- 4/2 = 2
- Which gives: 39/2
Since 39/2 is an improper fraction, the result could also be expressed as a mixed number: 19 1/2
How does it work?
The principle behind finding a fraction of a number, such as 3/4 of 26, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/4 of 26)
- 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, 3/4 of 26 is equal to 39/2 (or 19.5 in its decimal form).