What is 2/7 of 70?

How to calculate 2/7 of 70?

1. Multiply the whole number by the numerator of the fraction: 70 × 2 = 140
2. Divide this result by denominator of the fraction: 140/7 = 20
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 140/7 = 20
   • 7/7 = 1
4. Which gives: 20/1

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 70, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{70}$ (where x represents 2/7 of 70)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 70=7x$
2. Which gives: $140=7x$
3. Divide both sides by 7 to isolate x: $\frac{140}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{140}{7}=x$ (or $\frac{20}{1}=x$)

Thus, 2/7 of 70 is equal to 20/1 (or 20 in its decimal form).