What is 1/10 of 55?

How to calculate 1/10 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 1 = 55
2. Divide this result by denominator of the fraction: 55/10 = 5.5
3. Simplify by dividing both the numerator and denominator by their GCD (5):
   • 55/5 = 11
   • 10/5 = 2
4. Which gives: 11/2

Since 11/2 is an improper fraction, the result could also be expressed as a mixed number: 5 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{55}$ (where x represents 1/10 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 55=10x$
2. Which gives: $55=10x$
3. Divide both sides by 10 to isolate x: $\frac{55}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{55}{10}=x$ (or $\frac{11}{2}=x$)

Thus, 1/10 of 55 is equal to 11/2 (or 5.5 in its decimal form).