Question

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed.

2 5/6 divided 1 3/4

Answer 1

9514 1404 393

Answer:

1 13/21

Explanation:

It can work well to convert the numbers to improper fractions.

2 5/6 = (2·6 +5)/6 = 17/6

1 3/4 = (1·4 +3)/4 = 7/4

Division is the same as multiplication by the inverse:

(17/6) ÷ (7/4) = (17/6) × (4/7) = (17×4)/(6×7) = (17×2)/(3×7) = 34/21

34/21 = (21 +13)/21 = 1 13/21 . . . . convert back to mixed number

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Additional comment

Note that a factor of 2 was removed from 4/6 to make it be 2/3. There are no other common factors in the products 17×4 and 6×7, so we know the result is in lowest terms.