What is 3/9 of 37?

How to calculate 3/9 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 3 = 111
2. Divide this result by denominator of the fraction: 111/9 = 12.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 111/3 = 37
   • 9/3 = 3
4. Which gives: 37/3

Since 37/3 is an improper fraction, the result could also be expressed as a mixed number: 12 1/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{9}=\frac{x}{37}$ (where x represents 3/9 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 37=9x$
2. Which gives: $111=9x$
3. Divide both sides by 9 to isolate x: $\frac{111}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{111}{9}=x$ (or $\frac{37}{3}=x$)

Thus, 3/9 of 37 is equal to 37/3 (or 12.333333333333 in its decimal form).