What is 2/10 of 43?

How to calculate 2/10 of 43?

1. Multiply the whole number by the numerator of the fraction: 43 × 2 = 86
2. Divide this result by denominator of the fraction: 86/10 = 8.6
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 86/2 = 43
   • 10/2 = 5
4. Which gives: 43/5

Since 43/5 is an improper fraction, the result could also be expressed as a mixed number: 8 3/5

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 43, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{43}$ (where x represents 2/10 of 43)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 43=10x$
2. Which gives: $86=10x$
3. Divide both sides by 10 to isolate x: $\frac{86}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{86}{10}=x$ (or $\frac{43}{5}=x$)

Thus, 2/10 of 43 is equal to 43/5 (or 8.6 in its decimal form).