Question

Hello,I am doing 5th grade homework for my 10 yearold daughter in summer school.I know the answer is 2 1/4 I just want to know how to get it I got a little lost.Here is the question:
15 divided by 6 2/3.How did I get it?

Answer 1

To find the answer to a division question, one needs to multiply by the reciprocal of the divisor. The divisor is 6 2/3. To find the reciprocal , we first need to convert it into an improper fraction. We can do this by multiply 6 by 3, and then adding that product to 2, and then dividing that by 3. That gives us 20/3. The reciprocal is basically the fraction 'flipped,' so the reciprocal of 20/3 is 3/20. Now we have to multiply. 15 * 3/20 is 9/4, which simplifies to 2 + 1/4. 

Answer 2

15/(6 2/3)

First, change the mixed fraction into improper fraction.

6 2/3 = 20/3

15/(20/3)

Next, flip the second fraction to change the first division into a multiplication.

15 x (3/20)

Multiply 15 and 3 together.

15 x 3 = 45

Divide 45 with 20

45/20 =  2.25

0.25 = 25/100 = 1/4

2 1/4, or 2.25 is your answer

hope this helps