What is 1/10 of 68?

How to calculate 1/10 of 68?

1. Multiply the whole number by the numerator of the fraction: 68 × 1 = 68
2. Divide this result by denominator of the fraction: 68/10 = 6.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 68/2 = 34
   • 10/2 = 5
4. Which gives: 34/5

Since 34/5 is an improper fraction, the result could also be expressed as a mixed number: 6 4/5

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{68}$ (where x represents 1/10 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 68=10x$
2. Which gives: $68=10x$
3. Divide both sides by 10 to isolate x: $\frac{68}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{68}{10}=x$ (or $\frac{34}{5}=x$)

Thus, 1/10 of 68 is equal to 34/5 (or 6.8 in its decimal form).