What is 9/7 of 92?

How to calculate 9/7 of 92?

1. Multiply the whole number by the numerator of the fraction: 92 × 9 = 828
2. Divide this result by denominator of the fraction: 828/7 = 118.28571428571

Since 828/7 is an improper fraction, the result could also be expressed as a mixed number: 118 2/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 92, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{7}=\frac{x}{92}$ (where x represents 9/7 of 92)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 92=7x$
2. Which gives: $828=7x$
3. Divide both sides by 7 to isolate x: $\frac{828}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{828}{7}=x$

Thus, 9/7 of 92 is equal to 828/7 (or 118.28571428571 in its decimal form).