What is 3/7 of 35?

How to calculate 3/7 of 35?

1. Multiply the whole number by the numerator of the fraction: 35 × 3 = 105
2. Divide this result by denominator of the fraction: 105/7 = 15
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 105/7 = 15
   • 7/7 = 1
4. Which gives: 15/1

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{35}$ (where x represents 3/7 of 35)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 35=7x$
2. Which gives: $105=7x$
3. Divide both sides by 7 to isolate x: $\frac{105}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{105}{7}=x$ (or $\frac{15}{1}=x$)

Thus, 3/7 of 35 is equal to 15/1 (or 15 in its decimal form).