To write the ratio 30 to 48 as a fraction in simplest form, we start by expressing the ratio as a fraction:
30:48 = 30/48
Next, we need to simplify the fraction. We do this by finding the greatest common divisor (GCD) of 30 and 48. The GCD of 30 and 48 is 6.
Now, we divide both the numerator and the denominator by their GCD:
30 ÷ 6 = 5
48 ÷ 6 = 8
So, the fraction in simplest form is 5/8.
Therefore, the correct answer is 5/8 (option b).