What is 7/2 of 38?

How to calculate 7/2 of 38?

1. Multiply the whole number by the numerator of the fraction: 38 × 7 = 266
2. Divide this result by denominator of the fraction: 266/2 = 133
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 266/2 = 133
   • 2/2 = 1
4. Which gives: 133/1

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{2}=\frac{x}{38}$ (where x represents 7/2 of 38)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 38=2x$
2. Which gives: $266=2x$
3. Divide both sides by 2 to isolate x: $\frac{266}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{266}{2}=x$ (or $\frac{133}{1}=x$)

Thus, 7/2 of 38 is equal to 133/1 (or 133 in its decimal form).