What is the ratio of 10 to 50 in simplest form?

To determine the ratio of 10 to 50 in its simplest form, you start by writing the ratio as a fraction: 10/50. The next step is to simplify this fraction by finding the greatest common divisor (GCD) of the two numbers.

The GCD of 10 and 50 is 10. By dividing both the numerator and denominator by their GCD (10), you simplify the fraction:

10 ÷ 10 = 1

50 ÷ 10 = 5

Thus, the simplified fraction is 1/5, which translates to the ratio of 1:5. This demonstrates that for every 1 part of the first quantity (10), there are 5 parts of the second quantity (50), creating a clear and proportional relationship between the two.

In summary, the simplest form of the ratio of 10 to 50 is indeed 1:5, accurately representing how these two numbers relate to one another in terms of proportionality.