Write this ratio as a fraction in simplest form without any units.
12 days to 6 weeks
To write the ratio 12 days to 6 weeks as a fraction in simplest form without any units, we need to convert the time units to a common one. Let's convert 6 weeks to days.
Since there are 7 days in a week, we can multiply 6 weeks by 7 to get the equivalent number of days:
6 weeks × 7 days/week = 42 days
Now we have 12 days to 42 days. The fraction representing this ratio is:
12/42
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor.
The greatest common divisor of 12 and 42 is 6.
When we divide both 12 and 42 by 6, we get:
12 ÷ 6 = 2
42 ÷ 6 = 7
Therefore, the simplified fraction representing the ratio 12 days to 6 weeks is:
2/7