What is 1/9 of 78?

How to calculate 1/9 of 78?

1. Multiply the whole number by the numerator of the fraction: 78 × 1 = 78
2. Divide this result by denominator of the fraction: 78/9 = 8.6666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 78/3 = 26
   • 9/3 = 3
4. Which gives: 26/3

Since 26/3 is an improper fraction, the result could also be expressed as a mixed number: 8 2/3

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 78, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{9}=\frac{x}{78}$ (where x represents 1/9 of 78)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 78=9x$
2. Which gives: $78=9x$
3. Divide both sides by 9 to isolate x: $\frac{78}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{78}{9}=x$ (or $\frac{26}{3}=x$)

Thus, 1/9 of 78 is equal to 26/3 (or 8.6666666666667 in its decimal form).