What is 6/9 of 75?

How to calculate 6/9 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 6 = 450
2. Divide this result by denominator of the fraction: 450/9 = 50
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 450/9 = 50
   • 9/9 = 1
4. Which gives: 50/1

How does it work?

The principle behind finding a fraction of a number, such as 6/9 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{9}=\frac{x}{75}$ (where x represents 6/9 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 75=9x$
2. Which gives: $450=9x$
3. Divide both sides by 9 to isolate x: $\frac{450}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{450}{9}=x$ (or $\frac{50}{1}=x$)

Thus, 6/9 of 75 is equal to 50/1 (or 50 in its decimal form).