Write the ratio in simplest form. The ratio of 75 seconds to 3 minutes.
72seconds =3minutes
3 minutes = 180 seconds
75/180 (or 75:180)
75/180 = 15/36 = 5/12
To simplify the ratio of 75 seconds to 3 minutes, we need to convert the units to be the same. Since there are 60 seconds in 1 minute, we can convert the 3 minutes to seconds by multiplying it by 60:
3 minutes * 60 seconds/minute = 180 seconds
Now, our ratio becomes 75 seconds to 180 seconds. To simplify, we can find the greatest common divisor (GCD) of the two numbers, which in this case is 15:
75/15 = 5
180/15 = 12
Therefore, the simplified ratio is 5:12.
To write the ratio in simplest form, we need to reduce it to its lowest terms.
The first step is to convert the given minutes to seconds, since the ratio needs to be in the same units.
Given that there are 60 seconds in 1 minute, we can convert 3 minutes to seconds by multiplying it by 60:
3 minutes × 60 seconds/minute = 180 seconds
So, the ratio of 75 seconds to 3 minutes can be written as 75 seconds:180 seconds.
To simplify this ratio, we need to find the greatest common divisor (GCD) between 75 and 180.
The GCD of 75 and 180 is 15.
Dividing both the numerator and denominator of the ratio by the GCD, we get:
75 ÷ 15 : 180 ÷ 15
This gives us the simplified ratio:
5:12
Therefore, the ratio of 75 seconds to 3 minutes in simplest form is 5:12.