What is 1/8 of 84?

How to calculate 1/8 of 84?

1. Multiply the whole number by the numerator of the fraction: 84 × 1 = 84
2. Divide this result by denominator of the fraction: 84/8 = 10.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 84/4 = 21
   • 8/4 = 2
4. Which gives: 21/2

Since 21/2 is an improper fraction, the result could also be expressed as a mixed number: 10 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{8}=\frac{x}{84}$ (where x represents 1/8 of 84)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 84=8x$
2. Which gives: $84=8x$
3. Divide both sides by 8 to isolate x: $\frac{84}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{84}{8}=x$ (or $\frac{21}{2}=x$)

Thus, 1/8 of 84 is equal to 21/2 (or 10.5 in its decimal form).