What is 1/6 of 49?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/6 of 49? We'll show you a straightforward method to achieve that.
How to calculate 1/6 of 49?
- Multiply the whole number by the numerator of the fraction: 49 × 1 = 49
- Divide this result by denominator of the fraction: 49/6 = 8.1666666666667
Since 49/6 is an improper fraction, the result could also be expressed as a mixed number: 8 1/6
How does it work?
The principle behind finding a fraction of a number, such as 1/6 of 49, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/6 of 49)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result:
Thus, 1/6 of 49 is equal to 49/6 (or 8.1666666666667 in its decimal form).