What is 3/6 of 31?

How to calculate 3/6 of 31?

1. Multiply the whole number by the numerator of the fraction: 31 × 3 = 93
2. Divide this result by denominator of the fraction: 93/6 = 15.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 93/3 = 31
   • 6/3 = 2
4. Which gives: 31/2

Since 31/2 is an improper fraction, the result could also be expressed as a mixed number: 15 1/2

How does it work?

The principle behind finding a fraction of a number, such as 3/6 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{6}=\frac{x}{31}$ (where x represents 3/6 of 31)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 31=6x$
2. Which gives: $93=6x$
3. Divide both sides by 6 to isolate x: $\frac{93}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{93}{6}=x$ (or $\frac{31}{2}=x$)

Thus, 3/6 of 31 is equal to 31/2 (or 15.5 in its decimal form).