What is 4/6 of 51?

How to calculate 4/6 of 51?

1. Multiply the whole number by the numerator of the fraction: 51 × 4 = 204
2. Divide this result by denominator of the fraction: 204/6 = 34
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 204/6 = 34
   • 6/6 = 1
4. Which gives: 34/1

How does it work?

The principle behind finding a fraction of a number, such as 4/6 of 51, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{6}=\frac{x}{51}$ (where x represents 4/6 of 51)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 51=6x$
2. Which gives: $204=6x$
3. Divide both sides by 6 to isolate x: $\frac{204}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{204}{6}=x$ (or $\frac{34}{1}=x$)

Thus, 4/6 of 51 is equal to 34/1 (or 34 in its decimal form).