What is 10/7 of 35?

How to calculate 10/7 of 35?

1. Multiply the whole number by the numerator of the fraction: 35 × 10 = 350
2. Divide this result by denominator of the fraction: 350/7 = 50
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 350/7 = 50
   • 7/7 = 1
4. Which gives: 50/1

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{35}$ (where x represents 10/7 of 35)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 35=7x$
2. Which gives: $350=7x$
3. Divide both sides by 7 to isolate x: $\frac{350}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{350}{7}=x$ (or $\frac{50}{1}=x$)

Thus, 10/7 of 35 is equal to 50/1 (or 50 in its decimal form).