What is 6/4 of 10?

How to calculate 6/4 of 10?

1. Multiply the whole number by the numerator of the fraction: 10 × 6 = 60
2. Divide this result by denominator of the fraction: 60/4 = 15
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 60/4 = 15
   • 4/4 = 1
4. Which gives: 15/1

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 10, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{10}$ (where x represents 6/4 of 10)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 10=4x$
2. Which gives: $60=4x$
3. Divide both sides by 4 to isolate x: $\frac{60}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{60}{4}=x$ (or $\frac{15}{1}=x$)

Thus, 6/4 of 10 is equal to 15/1 (or 15 in its decimal form).