What is 4/10 of 32?

How to calculate 4/10 of 32?

1. Multiply the whole number by the numerator of the fraction: 32 × 4 = 128
2. Divide this result by denominator of the fraction: 128/10 = 12.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 128/2 = 64
   • 10/2 = 5
4. Which gives: 64/5

Since 64/5 is an improper fraction, the result could also be expressed as a mixed number: 12 4/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 32, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{10}=\frac{x}{32}$ (where x represents 4/10 of 32)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 32=10x$
2. Which gives: $128=10x$
3. Divide both sides by 10 to isolate x: $\frac{128}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{128}{10}=x$ (or $\frac{64}{5}=x$)

Thus, 4/10 of 32 is equal to 64/5 (or 12.8 in its decimal form).