What is 6/4 of 47?

How to calculate 6/4 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: 282/4 = 70.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 282/2 = 141
   • 4/2 = 2
4. Which gives: 141/2

Since 141/2 is an improper fraction, the result could also be expressed as a mixed number: 70 1/2

How does it work?

The principle behind finding a fraction of a number, such as 6/4 of 47, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{4}=\frac{x}{47}$ (where x represents 6/4 of 47)

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

Thus, 6/4 of 47 is equal to 141/2 (or 70.5 in its decimal form).