What is 3/9 of 49?

How to calculate 3/9 of 49?

1. Multiply the whole number by the numerator of the fraction: 49 × 3 = 147
2. Divide this result by denominator of the fraction: 147/9 = 16.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 147/3 = 49
   • 9/3 = 3
4. Which gives: 49/3

Since 49/3 is an improper fraction, the result could also be expressed as a mixed number: 16 1/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{49}$ (where x represents 3/9 of 49)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 49=9x$
2. Which gives: $147=9x$
3. Divide both sides by 9 to isolate x: $\frac{147}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{147}{9}=x$ (or $\frac{49}{3}=x$)

Thus, 3/9 of 49 is equal to 49/3 (or 16.333333333333 in its decimal form).