IXL | Convert between improper fractions and mixed numbers

Write

as a mixed number.

ref_doc_title.

Learn with an example

question

Write

as a mixed number.

solution

To write

as a mixed number, first write it as the sum of two smaller fractions. The first fraction should be equivalent to a whole number. Since

has a denominator of 8, this means that the first fraction's numerator should be a multiple of 8.

Find the greatest multiple of 8 that is less than 27.

8, 16,

24,

So, the first fraction is

To make

you need

more. So, the second fraction is

Rewrite

as the equivalent whole number 3

Rewrite

as the equivalent whole number 3

So,

which is the mixed number

You can also use division to write

as a mixed number. Earlier, you found the greatest multiple of 8 within 27, which gave you

You then found the remaining difference between

and

which gave you

This is the same as finding the quotient and remainder when dividing 27 by 8.

27
÷
8
=
3
R 3
27
8
=
3
8

Looking for more? Try these:

Lesson: Mixed numbers and improper fractions

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Q.3Convert mixed numbers to improper fractions

Q.4Convert improper fractions to mixed numbers

Lesson: Mixed numbers and improper fractions

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