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Mixed numbers & improper fractions

Grade 4 · Math · Free lesson

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Sometimes we have more than one whole pizza. We can write this amount in two different ways. We can use a mixed number or an improper fraction.

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A mixed number has a whole number and a fraction. For example, one and one-half is a mixed number. Let us look up the word 'mixed' in our glossary. It means things put together!

1 and 1/2

An improper fraction has a top number that is larger than the bottom number. The top number is the numerator. The bottom number is the denominator.

32

Let us use our context clues to read this sentence: 'We shared three-halves of a pie, so we ate more than one whole.' The words 'more than one whole' help us understand that three-halves is a large amount!

✏️ Worked example

Change the mixed number 1 and 2/3 into an improper fraction.

  1. First, find the denominator of the fraction part. In 1 and 2/3, the denominator is 3. This means each whole has 3 equal parts.
  2. Next, multiply the whole number by the denominator. Our whole number is 1. We do 1 times 3, which equals 3.
  3. Then, add the top number of our fraction to that result. The top number is 2. We do 3 plus 2, which equals 5.
  4. Finally, write this new number over our original denominator. This gives us 5/3. 1 and 2/3 is equal to 5/3!
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