What is 7/2 of 52?

How to calculate 7/2 of 52?

1. Multiply the whole number by the numerator of the fraction: 52 × 7 = 364
2. Divide this result by denominator of the fraction: 364/2 = 182
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 364/2 = 182
   • 2/2 = 1
4. Which gives: 182/1

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 52, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{2}=\frac{x}{52}$ (where x represents 7/2 of 52)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 52=2x$
2. Which gives: $364=2x$
3. Divide both sides by 2 to isolate x: $\frac{364}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{364}{2}=x$ (or $\frac{182}{1}=x$)

Thus, 7/2 of 52 is equal to 182/1 (or 182 in its decimal form).