What is 6/4 of 55?

How to calculate 6/4 of 55?

1. Multiply the whole number by the numerator of the fraction: 55 × 6 = 330
2. Divide this result by denominator of the fraction: 330/4 = 82.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 330/2 = 165
   • 4/2 = 2
4. Which gives: 165/2

Since 165/2 is an improper fraction, the result could also be expressed as a mixed number: 82 1/2

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 55, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{55}$ (where x represents 6/4 of 55)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 55=4x$
2. Which gives: $330=4x$
3. Divide both sides by 4 to isolate x: $\frac{330}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{330}{4}=x$ (or $\frac{165}{2}=x$)

Thus, 6/4 of 55 is equal to 165/2 (or 82.5 in its decimal form).