What is 6/10 of 4?

How to calculate 6/10 of 4?

1. Multiply the whole number by the numerator of the fraction: 4 × 6 = 24
2. Divide this result by denominator of the fraction: 24/10 = 2.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 24/2 = 12
   • 10/2 = 5
4. Which gives: 12/5

Since 12/5 is an improper fraction, the result could also be expressed as a mixed number: 2 2/5

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 4=10x$
2. Which gives: $24=10x$
3. Divide both sides by 10 to isolate x: $\frac{24}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{24}{10}=x$ (or $\frac{12}{5}=x$)

Thus, 6/10 of 4 is equal to 12/5 (or 2.4 in its decimal form).