What is 4/10 of 13?

How to calculate 4/10 of 13?

1. Multiply the whole number by the numerator of the fraction: 13 × 4 = 52
2. Divide this result by denominator of the fraction: 52/10 = 5.2
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 52/2 = 26
   • 10/2 = 5
4. Which gives: 26/5

Since 26/5 is an improper fraction, the result could also be expressed as a mixed number: 5 1/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 13, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{10}=\frac{x}{13}$ (where x represents 4/10 of 13)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 13=10x$
2. Which gives: $52=10x$
3. Divide both sides by 10 to isolate x: $\frac{52}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{52}{10}=x$ (or $\frac{26}{5}=x$)

Thus, 4/10 of 13 is equal to 26/5 (or 5.2 in its decimal form).