What is 5/6 of 52?

How to calculate 5/6 of 52?

1. Multiply the whole number by the numerator of the fraction: 52 × 5 = 260
2. Divide this result by denominator of the fraction: 260/6 = 43.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 260/2 = 130
   • 6/2 = 3
4. Which gives: 130/3

Since 130/3 is an improper fraction, the result could also be expressed as a mixed number: 43 1/3

How does it work?

The principle behind finding a fraction of a number, such as 5/6 of 52, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{6}=\frac{x}{52}$ (where x represents 5/6 of 52)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 52=6x$
2. Which gives: $260=6x$
3. Divide both sides by 6 to isolate x: $\frac{260}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{260}{6}=x$ (or $\frac{130}{3}=x$)

Thus, 5/6 of 52 is equal to 130/3 (or 43.333333333333 in its decimal form).