What is 6/4 of 55?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/4 of 55? We'll show you a straightforward method to achieve that.
How to calculate 6/4 of 55?
- Multiply the whole number by the numerator of the fraction: 55 × 6 = 330
- Divide this result by denominator of the fraction: 330/4 = 82.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 330/2 = 165
- 4/2 = 2
- Which gives: 165/2
Since 165/2 is an improper fraction, the result could also be expressed as a mixed number: 82 1/2
How does it work?
The principle behind finding a fraction of a number, such as 6/4 of 55, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/4 of 55)
- 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, 6/4 of 55 is equal to 165/2 (or 82.5 in its decimal form).