What is 3/6 of 78?

How to calculate 3/6 of 78?

1. Multiply the whole number by the numerator of the fraction: 78 × 3 = 234
2. Divide this result by denominator of the fraction: 234/6 = 39
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 234/6 = 39
   • 6/6 = 1
4. Which gives: 39/1

How does it work?

The principle behind finding a fraction of a number, such as 3/6 of 78, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{6}=\frac{x}{78}$ (where x represents 3/6 of 78)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 78=6x$
2. Which gives: $234=6x$
3. Divide both sides by 6 to isolate x: $\frac{234}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{234}{6}=x$ (or $\frac{39}{1}=x$)

Thus, 3/6 of 78 is equal to 39/1 (or 39 in its decimal form).