What is 6/2 of 47?

How to calculate 6/2 of 47?

1. Multiply the whole number by the numerator of the fraction: 47 × 6 = 282
2. Divide this result by denominator of the fraction: 282/2 = 141
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 282/2 = 141
   • 2/2 = 1
4. Which gives: 141/1

How does it work?

The principle behind finding a fraction of a number, such as 6/2 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{2}=\frac{x}{47}$ (where x represents 6/2 of 47)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 47=2x$
2. Which gives: $282=2x$
3. Divide both sides by 2 to isolate x: $\frac{282}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{282}{2}=x$ (or $\frac{141}{1}=x$)

Thus, 6/2 of 47 is equal to 141/1 (or 141 in its decimal form).