What is 10/8 of 69?

How to calculate 10/8 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: 690/8 = 86.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 690/2 = 345
   • 8/2 = 4
4. Which gives: 345/4

Since 345/4 is an improper fraction, the result could also be expressed as a mixed number: 86 1/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{69}$ (where x represents 10/8 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 69=8x$
2. Which gives: $690=8x$
3. Divide both sides by 8 to isolate x: $\frac{690}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{690}{8}=x$ (or $\frac{345}{4}=x$)

Thus, 10/8 of 69 is equal to 345/4 (or 86.25 in its decimal form).