Tara spent 3 hours doing homework. She spent 1/3 of her time on math, and 1/5 on science. Estimate the total time she spent on her math and science homework?
1/3 * 3 = 3/3 = 1 hour
1/5 * 3 = 3/5 = 36 minutes
To estimate the total time Tara spent on her math and science homework, we need to add the fractions of time she spent on each subject and find a common denominator.
Let's start by finding the fractions separately.
Since Tara spent 1/3 of her time on math, we can multiply 3 hours by 1/3 to find out how much time she spent on math homework:
3 hours * 1/3 = 3/3 * 1/3 = 1/3 * 1/3 = 1/9
So, Tara spent 1/9 of her time on math.
Now let's find out how much time she spent on science. Tara spent 1/5 of her time on science, so we can multiply 3 hours by 1/5 to find out how much time that is:
3 hours * 1/5 = 3/5 * 1/5 = 3/25
Therefore, Tara spent 3/25 of her time on science.
Finally, we can estimate the total time she spent on math and science by adding these fractions:
1/9 + 3/25 = (1*25 + 3*9) / (9*25) = 25/225 + 27/225 = 52/225
So, the estimated total time Tara spent on math and science homework is 52/225 of the 3 hours, which is approximately 0.231 hours (rounded to three decimal places).