What is 4/6 of 43?

How to calculate 4/6 of 43?

1. Multiply the whole number by the numerator of the fraction: 43 × 4 = 172
2. Divide this result by denominator of the fraction: 172/6 = 28.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 172/2 = 86
   • 6/2 = 3
4. Which gives: 86/3

Since 86/3 is an improper fraction, the result could also be expressed as a mixed number: 28 2/3

How does it work?

The principle behind finding a fraction of a number, such as 4/6 of 43, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{6}=\frac{x}{43}$ (where x represents 4/6 of 43)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 43=6x$
2. Which gives: $172=6x$
3. Divide both sides by 6 to isolate x: $\frac{172}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{172}{6}=x$ (or $\frac{86}{3}=x$)

Thus, 4/6 of 43 is equal to 86/3 (or 28.666666666667 in its decimal form).