What is 6/10 of 87?

How to calculate 6/10 of 87?

1. Multiply the whole number by the numerator of the fraction: 87 × 6 = 522
2. Divide this result by denominator of the fraction: 522/10 = 52.2
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 522/2 = 261
   • 10/2 = 5
4. Which gives: 261/5

Since 261/5 is an improper fraction, the result could also be expressed as a mixed number: 52 1/5

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 87=10x$
2. Which gives: $522=10x$
3. Divide both sides by 10 to isolate x: $\frac{522}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{522}{10}=x$ (or $\frac{261}{5}=x$)

Thus, 6/10 of 87 is equal to 261/5 (or 52.2 in its decimal form).