What is 5/9 of 75?

How to calculate 5/9 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 5 = 375
2. Divide this result by denominator of the fraction: 375/9 = 41.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 375/3 = 125
   • 9/3 = 3
4. Which gives: 125/3

Since 125/3 is an improper fraction, the result could also be expressed as a mixed number: 41 2/3

How does it work?

The principle behind finding a fraction of a number, such as 5/9 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{9}=\frac{x}{75}$ (where x represents 5/9 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 75=9x$
2. Which gives: $375=9x$
3. Divide both sides by 9 to isolate x: $\frac{375}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{375}{9}=x$ (or $\frac{125}{3}=x$)

Thus, 5/9 of 75 is equal to 125/3 (or 41.666666666667 in its decimal form).