What is 7/2 of 84?

How to calculate 7/2 of 84?

1. Multiply the whole number by the numerator of the fraction: 84 × 7 = 588
2. Divide this result by denominator of the fraction: 588/2 = 294
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 588/2 = 294
   • 2/2 = 1
4. Which gives: 294/1

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{2}=\frac{x}{84}$ (where x represents 7/2 of 84)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 84=2x$
2. Which gives: $588=2x$
3. Divide both sides by 2 to isolate x: $\frac{588}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{588}{2}=x$ (or $\frac{294}{1}=x$)

Thus, 7/2 of 84 is equal to 294/1 (or 294 in its decimal form).