What is 10/6 of 87?

How to calculate 10/6 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: 870/6 = 145
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 870/6 = 145
   • 6/6 = 1
4. Which gives: 145/1

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{87}$ (where x represents 10/6 of 87)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 87=6x$
2. Which gives: $870=6x$
3. Divide both sides by 6 to isolate x: $\frac{870}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{870}{6}=x$ (or $\frac{145}{1}=x$)

Thus, 10/6 of 87 is equal to 145/1 (or 145 in its decimal form).