What is 10/6 of 59?

How to calculate 10/6 of 59?

1. Multiply the whole number by the numerator of the fraction: 59 × 10 = 590
2. Divide this result by denominator of the fraction: 590/6 = 98.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 590/2 = 295
   • 6/2 = 3
4. Which gives: 295/3

Since 295/3 is an improper fraction, the result could also be expressed as a mixed number: 98 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 59, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{59}$ (where x represents 10/6 of 59)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 59=6x$
2. Which gives: $590=6x$
3. Divide both sides by 6 to isolate x: $\frac{590}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{590}{6}=x$ (or $\frac{295}{3}=x$)

Thus, 10/6 of 59 is equal to 295/3 (or 98.333333333333 in its decimal form).