Write the ratio as a fraction in lowest terms. Compare in hours.
3 hours to 2 days
To compare the ratio of 3 hours to 2 days as a fraction in lowest terms, first, you need to convert the days to hours since the comparison is being made in hours.
There are 24 hours in one day. So, for 2 days, you would have:
2 days * 24 hours/day = 48 hours
Now, you have a ratio of 3 hours to 48 hours.
To convert this into a fraction and reduce it to its lowest terms, you place the number of hours in the numerator (top of the fraction) and the number of hours in 2 days in the denominator (bottom of the fraction):
\(\frac{3 \text{ hours}}{48 \text{ hours}}\)
To reduce this fraction, you'll want to find the greatest common divisor of the numerator and denominator, which is 3 in this case. Dividing both the numerator and the denominator by 3 gives you:
\(\frac{3 \div 3}{48 \div 3} = \frac{1}{16}\)
So, the ratio of 3 hours to 2 days expressed as a fraction in its lowest terms is \(\frac{1}{16}\).