What is 6/5 of 46?
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 46? We'll show you a straightforward method to achieve that.
How to calculate 6/5 of 46?
- Multiply the whole number by the numerator of the fraction: 46 × 6 = 276
- Divide this result by denominator of the fraction: 276/5 = 55.2
Since 276/5 is an improper fraction, the result could also be expressed as a mixed number: 55 1/5
How does it work?
The principle behind finding a fraction of a number, such as 6/5 of 46, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/5 of 46)
- 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 46 is equal to 276/5 (or 55.2 in its decimal form).