What is 6/9 of 69?

How to calculate 6/9 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 6 = 414
2. Divide this result by denominator of the fraction: 414/9 = 46
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 414/9 = 46
   • 9/9 = 1
4. Which gives: 46/1

How does it work?

The principle behind finding a fraction of a number, such as 6/9 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{9}=\frac{x}{69}$ (where x represents 6/9 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 69=9x$
2. Which gives: $414=9x$
3. Divide both sides by 9 to isolate x: $\frac{414}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{414}{9}=x$ (or $\frac{46}{1}=x$)

Thus, 6/9 of 69 is equal to 46/1 (or 46 in its decimal form).