What is 2/10 of 35?

How to calculate 2/10 of 35?

1. Multiply the whole number by the numerator of the fraction: 35 × 2 = 70
2. Divide this result by denominator of the fraction: 70/10 = 7
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 70/10 = 7
   • 10/10 = 1
4. Which gives: 7/1

How does it work?

The principle behind finding a fraction of a number, such as 2/10 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{10}=\frac{x}{35}$ (where x represents 2/10 of 35)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 35=10x$
2. Which gives: $70=10x$
3. Divide both sides by 10 to isolate x: $\frac{70}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{70}{10}=x$ (or $\frac{7}{1}=x$)

Thus, 2/10 of 35 is equal to 7/1 (or 7 in its decimal form).