What is 10/6 of 69?

How to calculate 10/6 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 10 = 690
2. Divide this result by denominator of the fraction: 690/6 = 115
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 690/6 = 115
   • 6/6 = 1
4. Which gives: 115/1

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{69}$ (where x represents 10/6 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 69=6x$
2. Which gives: $690=6x$
3. Divide both sides by 6 to isolate x: $\frac{690}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{690}{6}=x$ (or $\frac{115}{1}=x$)

Thus, 10/6 of 69 is equal to 115/1 (or 115 in its decimal form).