What is 1/9 of 79?

How to calculate 1/9 of 79?

1. Multiply the whole number by the numerator of the fraction: 79 × 1 = 79
2. Divide this result by denominator of the fraction: 79/9 = 8.7777777777778

Since 79/9 is an improper fraction, the result could also be expressed as a mixed number: 8 7/9

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{9}=\frac{x}{79}$ (where x represents 1/9 of 79)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 79=9x$
2. Which gives: $79=9x$
3. Divide both sides by 9 to isolate x: $\frac{79}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{79}{9}=x$

Thus, 1/9 of 79 is equal to 79/9 (or 8.7777777777778 in its decimal form).