What is 2/9 of 75?

How to calculate 2/9 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 2 = 150
2. Divide this result by denominator of the fraction: 150/9 = 16.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 150/3 = 50
   • 9/3 = 3
4. Which gives: 50/3

Since 50/3 is an improper fraction, the result could also be expressed as a mixed number: 16 2/3

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{75}$ (where x represents 2/9 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 75=9x$
2. Which gives: $150=9x$
3. Divide both sides by 9 to isolate x: $\frac{150}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{150}{9}=x$ (or $\frac{50}{3}=x$)

Thus, 2/9 of 75 is equal to 50/3 (or 16.666666666667 in its decimal form).