What is 4/6 of 4?

How to calculate 4/6 of 4?

1. Multiply the whole number by the numerator of the fraction: 4 × 4 = 16
2. Divide this result by denominator of the fraction: 16/6 = 2.6666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 16/2 = 8
   • 6/2 = 3
4. Which gives: 8/3

Since 8/3 is an improper fraction, the result could also be expressed as a mixed number: 2 2/3

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 4=6x$
2. Which gives: $16=6x$
3. Divide both sides by 6 to isolate x: $\frac{16}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{16}{6}=x$ (or $\frac{8}{3}=x$)

Thus, 4/6 of 4 is equal to 8/3 (or 2.6666666666667 in its decimal form).