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No, homework doesn't exist to embarass parents. Learners need to actually use a skill in order to learn it. Homework gives them that opportunity.
With the pressures of the state standardized tests that keep cranking up and taking up more class time, there isn't time for students to practice every skill during class. It's a Republican tactic to bring back segregation. They work to pull money from pu lic schools with vouchers and don't require private schools to uphold the same standards as public ones. It funnels the rich into separate private schools away from those that aren't in the upper class. If we could get rid of the ridiculous amount of testing and regain the ~5 weeks of school taken up by state testing, there would be more time in class to get the practice that all students need. Until that time, students need the homework to practice the skill and learn it.
Are you actually asking whether I can reduce fractions?
If so, you can simplify by figuring out how many times the denominator (the bottom number) into the numerator (the top number) and write that number next to what remains. Take 16/3 for example, 3 goes into 16 5 times, so you would write a number 5 and then, since 16-15=1, you would write 1/3. This makes the answer 5 1/3.
Another example is 8/64. This fraction will not pull a number to the side, given that the numerator is less than the demonization. As you may realize, 64 is a multiple of 8, so we can divide both numbers by 8. 8 divided by 8 is 1 and 64 divided by 8 is 8, so 8/64 simplifies down to 1/8.
Sometimes you can't divide both numbers in the fraction by the numerator, such as with 9/24. I'd you want to do this the long way, find the greatest common factor between the numbers which is 3. Divide both the numerator and denominator by 3 and you will simplify the fraction and get 3/8. If you realize that the fraction can be reduced further, find the greatest common factor between the numerator and denominator and divide them again.