What is 2/8 of 76?

How to calculate 2/8 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 2 = 152
2. Divide this result by denominator of the fraction: 152/8 = 19
3. Simplify by dividing both the numerator and denominator by their GCD (8):
   • 152/8 = 19
   • 8/8 = 1
4. Which gives: 19/1

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{76}$ (where x represents 2/8 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 76=8x$
2. Which gives: $152=8x$
3. Divide both sides by 8 to isolate x: $\frac{152}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{152}{8}=x$ (or $\frac{19}{1}=x$)

Thus, 2/8 of 76 is equal to 19/1 (or 19 in its decimal form).