Tara spent 3 hours doing homework. She spent 1/3 of her time on math, and 1/5 on science. Which method would provide the most reasonable estimate of the totaltime Tara spent on her math and science homework?
a. multiply 1/8 by 3
b. multiply 1/2 by 3
c. multiply 1/3 by 3 and add 1/5 to the product
d. multiply 1/3 by 1/5 and multiply the product by 3
I answered this for you and showed you how to find the answer.
Which of your answers do you think is right?
I don't know your answer doesn't match any of the options.
Sure it does. Take a shot at it. Which answer shows what I showed you?
To find the most reasonable estimate of the total time Tara spent on her math and science homework, we need to calculate the combined time for both subjects.
Tara spent 1/3 of her time on math, which can be calculated by multiplying 1/3 by 3 (the total time spent on homework). So the time spent on math is (1/3) * 3 = 1 hour.
Tara spent 1/5 of her time on science, which can be calculated by multiplying 1/5 by 3 (the total time spent on homework). So the time spent on science is (1/5) * 3 = 0.6 hours.
To find the combined time for both subjects, we can add the times spent on math and science:
1 hour (math) + 0.6 hours (science) = 1.6 hours.
Among the provided options:
a. multiplying 1/8 by 3 would not give a reasonable estimate as it is not related to the given fractions of time.
b. multiplying 1/2 by 3 would also not give a reasonable estimate as it does not consider the specific fractions of time spent on math and science.
c. multiplying 1/3 by 3 and adding 1/5 to the product provides a reasonable estimate as it takes into account the fractions of time spent on both subjects.
d. multiplying 1/3 by 1/5 and multiplying the product by 3 would not give a reasonable estimate as this would only calculate the portion of time spent in the intersection of math and science, rather than the combined time for both subjects.
Therefore, the method that would provide the most reasonable estimate of the total time Tara spent on her math and science homework is option c. Multiply 1/3 by 3 and add 1/5 to the product.