What is 3/2 of 35?

How to calculate 3/2 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: 105/2 = 52.5

Since 105/2 is an improper fraction, the result could also be expressed as a mixed number: 52 1/2

How does it work?

The principle behind finding a fraction of a number, such as 3/2 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{2}=\frac{x}{35}$ (where x represents 3/2 of 35)

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

Thus, 3/2 of 35 is equal to 105/2 (or 52.5 in its decimal form).