What is 1/10 of 40?

How to calculate 1/10 of 40?

1. Multiply the whole number by the numerator of the fraction: 40 × 1 = 40
2. Divide this result by denominator of the fraction: 40/10 = 4
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 40/10 = 4
   • 10/10 = 1
4. Which gives: 4/1

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 40, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{40}$ (where x represents 1/10 of 40)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 40=10x$
2. Which gives: $40=10x$
3. Divide both sides by 10 to isolate x: $\frac{40}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{40}{10}=x$ (or $\frac{4}{1}=x$)

Thus, 1/10 of 40 is equal to 4/1 (or 4 in its decimal form).