What is 3/3 of 35?

How to calculate 3/3 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: 105/3 = 35
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 105/3 = 35
   • 3/3 = 1
4. Which gives: 35/1

How does it work?

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

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

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

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