What is 1/6 of 49?

How to calculate 1/6 of 49?

1. Multiply the whole number by the numerator of the fraction: 49 × 1 = 49
2. 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: $\frac{1}{6}=\frac{x}{49}$ (where x represents 1/6 of 49)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 49=6x$
2. Which gives: $49=6x$
3. Divide both sides by 6 to isolate x: $\frac{49}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{49}{6}=x$

Thus, 1/6 of 49 is equal to 49/6 (or 8.1666666666667 in its decimal form).