What is 1/8 of 86?

How to calculate 1/8 of 86?

1. Multiply the whole number by the numerator of the fraction: 86 × 1 = 86
2. Divide this result by denominator of the fraction: 86/8 = 10.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 86/2 = 43
   • 8/2 = 4
4. Which gives: 43/4

Since 43/4 is an improper fraction, the result could also be expressed as a mixed number: 10 3/4

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 86, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{8}=\frac{x}{86}$ (where x represents 1/8 of 86)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 86=8x$
2. Which gives: $86=8x$
3. Divide both sides by 8 to isolate x: $\frac{86}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{86}{8}=x$ (or $\frac{43}{4}=x$)

Thus, 1/8 of 86 is equal to 43/4 (or 10.75 in its decimal form).