What is 9/7 of 24?

How to calculate 9/7 of 24?

1. Multiply the whole number by the numerator of the fraction: 24 × 9 = 216
2. Divide this result by denominator of the fraction: 216/7 = 30.857142857143

Since 216/7 is an improper fraction, the result could also be expressed as a mixed number: 30 6/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 24, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{7}=\frac{x}{24}$ (where x represents 9/7 of 24)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 24=7x$
2. Which gives: $216=7x$
3. Divide both sides by 7 to isolate x: $\frac{216}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{216}{7}=x$

Thus, 9/7 of 24 is equal to 216/7 (or 30.857142857143 in its decimal form).