IXL | Divide fractions and mixed numbers | 6th grade math

or

Divide.

5

7

÷

1

2

3

=

ref_doc_title.

or

Learn with an example

question

Divide.

1

5

7

÷

2

=

key idea

Write mixed numbers and whole numbers as improper fractions. Multiply by the reciprocal of the divisor.

solution

Write

1

5

7

as an improper fraction:

1

5

7

=

(1 × 7) + 5

7

=

12

7

Write

2

as an improper fraction:

2

=

2

1

Turn this from a division problem into a multiplication problem by multiplying by the reciprocal.

1

5

7

÷

2

=

12

7

÷

2

1

=

12

7

×

1

2

Cancel common factors, then multiply.

12

7

×

1

2

=

6

7

×

1

1

=

6 × 1

7 × 1

=

6

7

Looking for more? Try these:

Lesson: Dividing fractions and mixed numbers

or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

M.9Divide fractions and mixed numbers using models

M.7Divide fractions

L.14Multiply mixed numbers

Lesson: Dividing fractions and mixed numbers