What is 4/10 of 11?

How to calculate 4/10 of 11?

1. Multiply the whole number by the numerator of the fraction: 11 × 4 = 44
2. Divide this result by denominator of the fraction: 44/10 = 4.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 44/2 = 22
   • 10/2 = 5
4. Which gives: 22/5

Since 22/5 is an improper fraction, the result could also be expressed as a mixed number: 4 2/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 11, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{10}=\frac{x}{11}$ (where x represents 4/10 of 11)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 11=10x$
2. Which gives: $44=10x$
3. Divide both sides by 10 to isolate x: $\frac{44}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{44}{10}=x$ (or $\frac{22}{5}=x$)

Thus, 4/10 of 11 is equal to 22/5 (or 4.4 in its decimal form).