What is 6/8 of 73?

How to calculate 6/8 of 73?

1. Multiply the whole number by the numerator of the fraction: 73 × 6 = 438
2. Divide this result by denominator of the fraction: 438/8 = 54.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 438/2 = 219
   • 8/2 = 4
4. Which gives: 219/4

Since 219/4 is an improper fraction, the result could also be expressed as a mixed number: 54 3/4

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 73, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{73}$ (where x represents 6/8 of 73)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 73=8x$
2. Which gives: $438=8x$
3. Divide both sides by 8 to isolate x: $\frac{438}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{438}{8}=x$ (or $\frac{219}{4}=x$)

Thus, 6/8 of 73 is equal to 219/4 (or 54.75 in its decimal form).