What is 5/6 of 37?

How to calculate 5/6 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 5 = 185
2. Divide this result by denominator of the fraction: 185/6 = 30.833333333333

Since 185/6 is an improper fraction, the result could also be expressed as a mixed number: 30 5/6

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{6}=\frac{x}{37}$ (where x represents 5/6 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 37=6x$
2. Which gives: $185=6x$
3. Divide both sides by 6 to isolate x: $\frac{185}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{185}{6}=x$

Thus, 5/6 of 37 is equal to 185/6 (or 30.833333333333 in its decimal form).