Write this ratio as a fraction in simplest form without any units.

Question

12 days to 6 weeks

Answer 1

The ratio of 12 days to 6 weeks can be written as:

$ \frac{12 \text{ days}}{6 \text{ weeks}} $

To simplify this ratio, we need to convert either days to weeks or weeks to days. Since there are 7 days in a week, we can convert weeks to days by multiplying by 7.

$ \frac{12 \text{ days}}{6 \text{ weeks}} = \frac{12 \text{ days}}{6 \times 7 \text{ days}} = \frac{12}{42} $

This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 6.

$ \frac{12}{42} = \frac{2 \times 6}{7 \times 6} = \frac{2}{7}$

Therefore, the ratio of 12 days to 6 weeks simplified to simplest form is $\frac{2}{7}$, without any units.