What is 10/6 of 25?

How to calculate 10/6 of 25?

1. Multiply the whole number by the numerator of the fraction: 25 × 10 = 250
2. Divide this result by denominator of the fraction: 250/6 = 41.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 250/2 = 125
   • 6/2 = 3
4. Which gives: 125/3

Since 125/3 is an improper fraction, the result could also be expressed as a mixed number: 41 2/3

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 25, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{25}$ (where x represents 10/6 of 25)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 25=6x$
2. Which gives: $250=6x$
3. Divide both sides by 6 to isolate x: $\frac{250}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{250}{6}=x$ (or $\frac{125}{3}=x$)

Thus, 10/6 of 25 is equal to 125/3 (or 41.666666666667 in its decimal form).