What is 2/8 of 65?

How to calculate 2/8 of 65?

1. Multiply the whole number by the numerator of the fraction: 65 × 2 = 130
2. Divide this result by denominator of the fraction: 130/8 = 16.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 130/2 = 65
   • 8/2 = 4
4. Which gives: 65/4

Since 65/4 is an improper fraction, the result could also be expressed as a mixed number: 16 1/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 65, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{65}$ (where x represents 2/8 of 65)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 65=8x$
2. Which gives: $130=8x$
3. Divide both sides by 8 to isolate x: $\frac{130}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{130}{8}=x$ (or $\frac{65}{4}=x$)

Thus, 2/8 of 65 is equal to 65/4 (or 16.25 in its decimal form).