What is 3/9 of 53?

How to calculate 3/9 of 53?

1. Multiply the whole number by the numerator of the fraction: 53 × 3 = 159
2. Divide this result by denominator of the fraction: 159/9 = 17.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 159/3 = 53
   • 9/3 = 3
4. Which gives: 53/3

Since 53/3 is an improper fraction, the result could also be expressed as a mixed number: 17 2/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 53, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{53}$ (where x represents 3/9 of 53)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 53=9x$
2. Which gives: $159=9x$
3. Divide both sides by 9 to isolate x: $\frac{159}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{159}{9}=x$ (or $\frac{53}{3}=x$)

Thus, 3/9 of 53 is equal to 53/3 (or 17.666666666667 in its decimal form).