What is 4/2 of 37?

How to calculate 4/2 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 4 = 148
2. Divide this result by denominator of the fraction: 148/2 = 74
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 148/2 = 74
   • 2/2 = 1
4. Which gives: 74/1

How does it work?

The principle behind finding a fraction of a number, such as 4/2 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{2}=\frac{x}{37}$ (where x represents 4/2 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 37=2x$
2. Which gives: $148=2x$
3. Divide both sides by 2 to isolate x: $\frac{148}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{148}{2}=x$ (or $\frac{74}{1}=x$)

Thus, 4/2 of 37 is equal to 74/1 (or 74 in its decimal form).