What is 9/6 of 21?

How to calculate 9/6 of 21?

1. Multiply the whole number by the numerator of the fraction: 21 × 9 = 189
2. Divide this result by denominator of the fraction: 189/6 = 31.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 189/3 = 63
   • 6/3 = 2
4. Which gives: 63/2

Since 63/2 is an improper fraction, the result could also be expressed as a mixed number: 31 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 21, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{21}$ (where x represents 9/6 of 21)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 21=6x$
2. Which gives: $189=6x$
3. Divide both sides by 6 to isolate x: $\frac{189}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{189}{6}=x$ (or $\frac{63}{2}=x$)

Thus, 9/6 of 21 is equal to 63/2 (or 31.5 in its decimal form).