What is 8/6 of 48?

How to calculate 8/6 of 48?

1. Multiply the whole number by the numerator of the fraction: 48 × 8 = 384
2. Divide this result by denominator of the fraction: 384/6 = 64
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 384/6 = 64
   • 6/6 = 1
4. Which gives: 64/1

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{6}=\frac{x}{48}$ (where x represents 8/6 of 48)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 48=6x$
2. Which gives: $384=6x$
3. Divide both sides by 6 to isolate x: $\frac{384}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{384}{6}=x$ (or $\frac{64}{1}=x$)

Thus, 8/6 of 48 is equal to 64/1 (or 64 in its decimal form).