What is 7/2 of 26?

How to calculate 7/2 of 26?

1. Multiply the whole number by the numerator of the fraction: 26 × 7 = 182
2. Divide this result by denominator of the fraction: 182/2 = 91
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 182/2 = 91
   • 2/2 = 1
4. Which gives: 91/1

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{2}=\frac{x}{26}$ (where x represents 7/2 of 26)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 26=2x$
2. Which gives: $182=2x$
3. Divide both sides by 2 to isolate x: $\frac{182}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{182}{2}=x$ (or $\frac{91}{1}=x$)

Thus, 7/2 of 26 is equal to 91/1 (or 91 in its decimal form).