What is 4/6 of 56?

How to calculate 4/6 of 56?

1. Multiply the whole number by the numerator of the fraction: 56 × 4 = 224
2. Divide this result by denominator of the fraction: 224/6 = 37.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 224/2 = 112
   • 6/2 = 3
4. Which gives: 112/3

Since 112/3 is an improper fraction, the result could also be expressed as a mixed number: 37 1/3

How does it work?

The principle behind finding a fraction of a number, such as 4/6 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{6}=\frac{x}{56}$ (where x represents 4/6 of 56)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 56=6x$
2. Which gives: $224=6x$
3. Divide both sides by 6 to isolate x: $\frac{224}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{224}{6}=x$ (or $\frac{112}{3}=x$)

Thus, 4/6 of 56 is equal to 112/3 (or 37.333333333333 in its decimal form).