What is 4/9 of 57?

How to calculate 4/9 of 57?

1. Multiply the whole number by the numerator of the fraction: 57 × 4 = 228
2. Divide this result by denominator of the fraction: 228/9 = 25.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 228/3 = 76
   • 9/3 = 3
4. Which gives: 76/3

Since 76/3 is an improper fraction, the result could also be expressed as a mixed number: 25 1/3

How does it work?

The principle behind finding a fraction of a number, such as 4/9 of 57, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{9}=\frac{x}{57}$ (where x represents 4/9 of 57)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 57=9x$
2. Which gives: $228=9x$
3. Divide both sides by 9 to isolate x: $\frac{228}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{228}{9}=x$ (or $\frac{76}{3}=x$)

Thus, 4/9 of 57 is equal to 76/3 (or 25.333333333333 in its decimal form).