What is 8/4 of 76?

How to calculate 8/4 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 8 = 608
2. Divide this result by denominator of the fraction: 608/4 = 152
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 608/4 = 152
   • 4/4 = 1
4. Which gives: 152/1

How does it work?

The principle behind finding a fraction of a number, such as 8/4 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{4}=\frac{x}{76}$ (where x represents 8/4 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 76=4x$
2. Which gives: $608=4x$
3. Divide both sides by 4 to isolate x: $\frac{608}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{608}{4}=x$ (or $\frac{152}{1}=x$)

Thus, 8/4 of 76 is equal to 152/1 (or 152 in its decimal form).