What is 4/8 of 77?

How to calculate 4/8 of 77?

1. Multiply the whole number by the numerator of the fraction: 77 × 4 = 308
2. Divide this result by denominator of the fraction: 308/8 = 38.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 308/4 = 77
   • 8/4 = 2
4. Which gives: 77/2

Since 77/2 is an improper fraction, the result could also be expressed as a mixed number: 38 1/2

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 77, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{77}$ (where x represents 4/8 of 77)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 77=8x$
2. Which gives: $308=8x$
3. Divide both sides by 8 to isolate x: $\frac{308}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{308}{8}=x$ (or $\frac{77}{2}=x$)

Thus, 4/8 of 77 is equal to 77/2 (or 38.5 in its decimal form).