What is 4/8 of 74?

How to calculate 4/8 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 4 = 296
2. Divide this result by denominator of the fraction: 296/8 = 37
3. Simplify by dividing both the numerator and denominator by their GCD (8):
   • 296/8 = 37
   • 8/8 = 1
4. Which gives: 37/1

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{74}$ (where x represents 4/8 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 74=8x$
2. Which gives: $296=8x$
3. Divide both sides by 8 to isolate x: $\frac{296}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{296}{8}=x$ (or $\frac{37}{1}=x$)

Thus, 4/8 of 74 is equal to 37/1 (or 37 in its decimal form).