What is 2/8 of 69?

How to calculate 2/8 of 69?

1. Multiply the whole number by the numerator of the fraction: 69 × 2 = 138
2. Divide this result by denominator of the fraction: 138/8 = 17.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 138/2 = 69
   • 8/2 = 4
4. Which gives: 69/4

Since 69/4 is an improper fraction, the result could also be expressed as a mixed number: 17 1/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 69, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{69}$ (where x represents 2/8 of 69)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 69=8x$
2. Which gives: $138=8x$
3. Divide both sides by 8 to isolate x: $\frac{138}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{138}{8}=x$ (or $\frac{69}{4}=x$)

Thus, 2/8 of 69 is equal to 69/4 (or 17.25 in its decimal form).