Write the ratio in simplest form.
20 in : 46 in
20 = 2*10
46 = 2*23
so, ...
20in/46in = 10/23.
To write the ratio in simplest form, we need to find the greatest common divisor (GCD) of the two numbers in the ratio.
The GCD of 20 and 46 is 2.
Dividing both numbers by 2, we get:
20 ÷ 2 = 10
46 ÷ 2 = 23
Therefore, the ratio 20 in : 46 in in simplest form is 10 : 23.
To simplify the ratio 20 in : 46 in, we need to find the greatest common divisor (GCD) of the two numbers and divide them both by it.
Step 1: Find the GCD of 20 and 46.
To find the GCD, you can list the common factors and find the largest one:
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 46: 1, 2, 23, 46
The common factors are 1 and 2, with the largest being 2. Therefore, the GCD of 20 and 46 is 2.
Step 2: Simplify the ratio.
To simplify the ratio, divide both numbers by the GCD:
20 in ÷ 2 = 10 in
46 in ÷ 2 = 23 in
The simplified ratio is 10 in : 23 in.