What is 6/10 of 84?

How to calculate 6/10 of 84?

1. Multiply the whole number by the numerator of the fraction: 84 × 6 = 504
2. Divide this result by denominator of the fraction: 504/10 = 50.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 504/2 = 252
   • 10/2 = 5
4. Which gives: 252/5

Since 252/5 is an improper fraction, the result could also be expressed as a mixed number: 50 2/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{84}$ (where x represents 6/10 of 84)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 84=10x$
2. Which gives: $504=10x$
3. Divide both sides by 10 to isolate x: $\frac{504}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{504}{10}=x$ (or $\frac{252}{5}=x$)

Thus, 6/10 of 84 is equal to 252/5 (or 50.4 in its decimal form).