What is 6/10 of 64?

How to calculate 6/10 of 64?

1. Multiply the whole number by the numerator of the fraction: 64 × 6 = 384
2. Divide this result by denominator of the fraction: 384/10 = 38.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 384/2 = 192
   • 10/2 = 5
4. Which gives: 192/5

Since 192/5 is an improper fraction, the result could also be expressed as a mixed number: 38 2/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{64}$ (where x represents 6/10 of 64)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 64=10x$
2. Which gives: $384=10x$
3. Divide both sides by 10 to isolate x: $\frac{384}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{384}{10}=x$ (or $\frac{192}{5}=x$)

Thus, 6/10 of 64 is equal to 192/5 (or 38.4 in its decimal form).