What is 5/6 of 70?

How to calculate 5/6 of 70?

1. Multiply the whole number by the numerator of the fraction: 70 × 5 = 350
2. Divide this result by denominator of the fraction: 350/6 = 58.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 350/2 = 175
   • 6/2 = 3
4. Which gives: 175/3

Since 175/3 is an improper fraction, the result could also be expressed as a mixed number: 58 1/3

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 70, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{6}=\frac{x}{70}$ (where x represents 5/6 of 70)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 70=6x$
2. Which gives: $350=6x$
3. Divide both sides by 6 to isolate x: $\frac{350}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{350}{6}=x$ (or $\frac{175}{3}=x$)

Thus, 5/6 of 70 is equal to 175/3 (or 58.333333333333 in its decimal form).