What is 4/6 of 67?

How to calculate 4/6 of 67?

1. Multiply the whole number by the numerator of the fraction: 67 × 4 = 268
2. Divide this result by denominator of the fraction: 268/6 = 44.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 268/2 = 134
   • 6/2 = 3
4. Which gives: 134/3

Since 134/3 is an improper fraction, the result could also be expressed as a mixed number: 44 2/3

How does it work?

The principle behind finding a fraction of a number, such as 4/6 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{6}=\frac{x}{67}$ (where x represents 4/6 of 67)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 67=6x$
2. Which gives: $268=6x$
3. Divide both sides by 6 to isolate x: $\frac{268}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{268}{6}=x$ (or $\frac{134}{3}=x$)

Thus, 4/6 of 67 is equal to 134/3 (or 44.666666666667 in its decimal form).