What is 10/8 of 87?

How to calculate 10/8 of 87?

1. Multiply the whole number by the numerator of the fraction: 87 × 10 = 870
2. Divide this result by denominator of the fraction: 870/8 = 108.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 870/2 = 435
   • 8/2 = 4
4. Which gives: 435/4

Since 435/4 is an improper fraction, the result could also be expressed as a mixed number: 108 3/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{87}$ (where x represents 10/8 of 87)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 87=8x$
2. Which gives: $870=8x$
3. Divide both sides by 8 to isolate x: $\frac{870}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{870}{8}=x$ (or $\frac{435}{4}=x$)

Thus, 10/8 of 87 is equal to 435/4 (or 108.75 in its decimal form).