Micah divided 11 2/3 by 2 5/6 and got 4 2/17 for an answer.Does his answer seem reasable?Explain your thnking.Then check Micah's answer.

Question

I normally have a lot of math homework and don't see to understand it.I am in the sixth grade and i need help!

Answer 1

Hello

 

What you need to do is turn the mixed fractions into improper fractions and multiply by the reciprocal.

 

11 2/3 becomes 35/3

2 5/6 becomes 17/6

 

so the problem becomes:

 

35/3 by 17/6

 

when you multiply by the reciprocal you get

 

35/3 * 6/17

 

cross cancel the 3 and 6 you get

 

35/1 * 2/17 = 70/17

 

when you reduce the improper fraction you get:

 

4 2/17 which is the anwer Micah got.

 

to check it you could multiply

 

4 2/17 * 2 5/6

 

which becomes

 

70/17 * 17/6

 

after cross canceling = 70/6 which reduces to 11 2/3

 

Therefore proving that the anwer is correct.

Answer 2

Yes, it is reasonable. 12 / 3 = 4

11 2/3 ÷ 2 5/6

35/3 ÷ 17/6       convert to improper fraction

35/3 · 6/17        divide by fraction, multiply by inverse

70 / 17