What is 3/6 of 77?

How to calculate 3/6 of 77?

1. Multiply the whole number by the numerator of the fraction: 77 × 3 = 231
2. Divide this result by denominator of the fraction: 231/6 = 38.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 231/3 = 77
   • 6/3 = 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 3/6 of 77, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{6}=\frac{x}{77}$ (where x represents 3/6 of 77)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 77=6x$
2. Which gives: $231=6x$
3. Divide both sides by 6 to isolate x: $\frac{231}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{231}{6}=x$ (or $\frac{77}{2}=x$)

Thus, 3/6 of 77 is equal to 77/2 (or 38.5 in its decimal form).