What is 10/6 of 48?

How to calculate 10/6 of 48?

1. Multiply the whole number by the numerator of the fraction: 48 × 10 = 480
2. Divide this result by denominator of the fraction: 480/6 = 80
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 480/6 = 80
   • 6/6 = 1
4. Which gives: 80/1

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{48}$ (where x represents 10/6 of 48)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 48=6x$
2. Which gives: $480=6x$
3. Divide both sides by 6 to isolate x: $\frac{480}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{480}{6}=x$ (or $\frac{80}{1}=x$)

Thus, 10/6 of 48 is equal to 80/1 (or 80 in its decimal form).