What is 4/10 of 16?

How to calculate 4/10 of 16?

1. Multiply the whole number by the numerator of the fraction: 16 × 4 = 64
2. Divide this result by denominator of the fraction: 64/10 = 6.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 64/2 = 32
   • 10/2 = 5
4. Which gives: 32/5

Since 32/5 is an improper fraction, the result could also be expressed as a mixed number: 6 2/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 16, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{10}=\frac{x}{16}$ (where x represents 4/10 of 16)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 16=10x$
2. Which gives: $64=10x$
3. Divide both sides by 10 to isolate x: $\frac{64}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{64}{10}=x$ (or $\frac{32}{5}=x$)

Thus, 4/10 of 16 is equal to 32/5 (or 6.4 in its decimal form).