What is 2/8 of 31?

How to calculate 2/8 of 31?

1. Multiply the whole number by the numerator of the fraction: 31 × 2 = 62
2. Divide this result by denominator of the fraction: 62/8 = 7.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 62/2 = 31
   • 8/2 = 4
4. Which gives: 31/4

Since 31/4 is an improper fraction, the result could also be expressed as a mixed number: 7 3/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{31}$ (where x represents 2/8 of 31)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 31=8x$
2. Which gives: $62=8x$
3. Divide both sides by 8 to isolate x: $\frac{62}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{62}{8}=x$ (or $\frac{31}{4}=x$)

Thus, 2/8 of 31 is equal to 31/4 (or 7.75 in its decimal form).