Write two ratios that can be expressed in simplest form as 3:10
If you multiply both sides of the ratio by any number, their simplest form will not change.
So
3x2=6
10x2=20
6:20 in simplest form is 3:10
Another example is 9:30
To find two ratios that can be expressed in simplest form as 3:10, we need to find two equivalent ratios by multiplying or dividing both the numerator and the denominator by the same nonzero number.
Ratio 1:
To simplify 3:10, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case since 3 and 10 do not have any common factors other than 1. Dividing both numbers by 1 does not change their value, so the simplified ratio is:
1 x 3 : 1 x 10
3 : 10
Ratio 2:
To find another ratio in simplest form, we can multiply both the numerator and denominator of the simplified ratio (3:10) by the same number other than 1. Let's multiply both by 2:
2 x 3 : 2 x 10
6 : 20
However, this ratio (6:20) is not in simplest form since both numbers have a common factor of 2. Let's simplify further by dividing both numbers by their GCD, which is 2:
6 ÷ 2 : 20 ÷ 2
3 : 10
So, two ratios that can be expressed in simplest form as 3:10 are 3:10 and 3:10.
To find two ratios that can be expressed in simplest form as 3:10, we multiply or divide both numbers by the same factor until we cannot simplify any further. Here are two examples:
1. Ratio: 3:10
Simplified ratio: Divide both numbers by their greatest common divisor, which is 1 in this case.
Simplified ratio: 3:10
2. Ratio: 6:20
Simplified ratio: Divide both numbers by their greatest common divisor, which is 2 in this case.
Simplified ratio: 3:10
Therefore, two ratios that can be expressed in simplest form as 3:10 are 3:10 and 6:20.