Write the following ratio in its simplest form. 114:95:38
The simplest form of the ratio 114:95:38 is 114/19:95/19:38/19. This can also be written as 6:5:2.
To simplify the ratio 114:95:38, we need to find the greatest common divisor (GCD) of the three numbers and divide each number by this common factor.
The GCD of 114, 95, and 38 is 19.
Divide each number by 19:
114 ÷ 19 = 6
95 ÷ 19 = 5
38 ÷ 19 = 2
Therefore, the simplified ratio is 6:5:2.
To simplify the given ratio, we need to find the greatest common divisor (GCD) of the three numbers: 114, 95, and 38.
To find the GCD, we can list the factors of each number:
Factors of 114: 1, 2, 3, 6, 19, 38, 57, 114
Factors of 95: 1, 5, 19, 95
Factors of 38: 1, 2, 19, 38
The common factors among all three numbers are 1 and 19.
Now, we divide each number by the GCD, which is 19:
114 ÷ 19 = 6
95 ÷ 19 = 5
38 ÷ 19 = 2
Therefore, the simplified ratio is 6:5:2.