What is 6/8 of 57?

How to calculate 6/8 of 57?

1. Multiply the whole number by the numerator of the fraction: 57 × 6 = 342
2. Divide this result by denominator of the fraction: 342/8 = 42.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 342/2 = 171
   • 8/2 = 4
4. Which gives: 171/4

Since 171/4 is an improper fraction, the result could also be expressed as a mixed number: 42 3/4

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 57, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{57}$ (where x represents 6/8 of 57)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 57=8x$
2. Which gives: $342=8x$
3. Divide both sides by 8 to isolate x: $\frac{342}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{342}{8}=x$ (or $\frac{171}{4}=x$)

Thus, 6/8 of 57 is equal to 171/4 (or 42.75 in its decimal form).