What is 8/7 of 28?

How to calculate 8/7 of 28?

1. Multiply the whole number by the numerator of the fraction: 28 × 8 = 224
2. Divide this result by denominator of the fraction: 224/7 = 32
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 224/7 = 32
   • 7/7 = 1
4. Which gives: 32/1

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 28, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{28}$ (where x represents 8/7 of 28)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 28=7x$
2. Which gives: $224=7x$
3. Divide both sides by 7 to isolate x: $\frac{224}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{224}{7}=x$ (or $\frac{32}{1}=x$)

Thus, 8/7 of 28 is equal to 32/1 (or 32 in its decimal form).