What is 1/6 of 37?

How to calculate 1/6 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 1 = 37
2. Divide this result by denominator of the fraction: 37/6 = 6.1666666666667

Since 37/6 is an improper fraction, the result could also be expressed as a mixed number: 6 1/6

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{6}=\frac{x}{37}$ (where x represents 1/6 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 37=6x$
2. Which gives: $37=6x$
3. Divide both sides by 6 to isolate x: $\frac{37}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{37}{6}=x$

Thus, 1/6 of 37 is equal to 37/6 (or 6.1666666666667 in its decimal form).