What is 4/9 of 51?

How to calculate 4/9 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: 204/9 = 22.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 204/3 = 68
   • 9/3 = 3
4. Which gives: 68/3

Since 68/3 is an improper fraction, the result could also be expressed as a mixed number: 22 2/3

How does it work?

The principle behind finding a fraction of a number, such as 4/9 of 51, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{9}=\frac{x}{51}$ (where x represents 4/9 of 51)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 51=9x$
2. Which gives: $204=9x$
3. Divide both sides by 9 to isolate x: $\frac{204}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{204}{9}=x$ (or $\frac{68}{3}=x$)

Thus, 4/9 of 51 is equal to 68/3 (or 22.666666666667 in its decimal form).