What is 6/5 of 28?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/5 of 28? We'll show you a straightforward method to achieve that.
How to calculate 6/5 of 28?
- Multiply the whole number by the numerator of the fraction: 28 × 6 = 168
- Divide this result by denominator of the fraction: 168/5 = 33.6
Since 168/5 is an improper fraction, the result could also be expressed as a mixed number: 33 3/5
How does it work?
The principle behind finding a fraction of a number, such as 6/5 of 28, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/5 of 28)
- 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:
Thus, 6/5 of 28 is equal to 168/5 (or 33.6 in its decimal form).