What is 3/8 of 76?

How to calculate 3/8 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 3 = 228
2. Divide this result by denominator of the fraction: 228/8 = 28.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 228/4 = 57
   • 8/4 = 2
4. Which gives: 57/2

Since 57/2 is an improper fraction, the result could also be expressed as a mixed number: 28 1/2

How does it work?

The principle behind finding a fraction of a number, such as 3/8 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{8}=\frac{x}{76}$ (where x represents 3/8 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 76=8x$
2. Which gives: $228=8x$
3. Divide both sides by 8 to isolate x: $\frac{228}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{228}{8}=x$ (or $\frac{57}{2}=x$)

Thus, 3/8 of 76 is equal to 57/2 (or 28.5 in its decimal form).