What is 1/8 of 70?

How to calculate 1/8 of 70?

1. Multiply the whole number by the numerator of the fraction: 70 × 1 = 70
2. Divide this result by denominator of the fraction: 70/8 = 8.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 70/2 = 35
   • 8/2 = 4
4. Which gives: 35/4

Since 35/4 is an improper fraction, the result could also be expressed as a mixed number: 8 3/4

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 70, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{8}=\frac{x}{70}$ (where x represents 1/8 of 70)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 70=8x$
2. Which gives: $70=8x$
3. Divide both sides by 8 to isolate x: $\frac{70}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{70}{8}=x$ (or $\frac{35}{4}=x$)

Thus, 1/8 of 70 is equal to 35/4 (or 8.75 in its decimal form).