How to Covert Improper Fractions to Mixed Numbers

Converting Improper Fractions to Mixed Numbers - How it Works - Video

Example 1

Example 1:

To convert an improper fraction to a mixed number, we need to use long division, and use the divisor (5), the quotient (4), and the remainder (2) to write the mixed number. In order to pick the quotient, we need to pick the multiple of 5 that is closest to dividend (22) without going over. In this case, it is 20. Now we have 5 x 4 = 20. So we use that 4 for the quotient and have 2 for the remainder after subtracting 22 - 20 = 2. So we the numbers to create the mixed number, 4 and 2/5.

Example 2

Example 2:

To convert an improper fraction to a mixed number, we need to use long division, and use the divisor (3), the quotient (3), and the remainder (2) to write the mixed number. In order to pick the quotient, we need to pick the multiple of 5 that is closest to dividend (11) without going over. In this case, it is 9. Now we have 3 x 3 = 9. So we use that 3 for the quotient and have 2 for the remainder after subtracting 11 - 9 = 2. So we the numbers to create the mixed number, 3 and 2/3.

Example 3

Example 3:

To convert an improper fraction to a mixed number, we need to use long division, and use the divisor (6), the quotient (3), and the remainder (2) to write the mixed number. In order to pick the quotient, we need to pick the multiple of 5 that is closest to dividend (20) without going over. In this case, it is 18. Now we have 6 x 3 = 18. So we use that 3 for the quotient and have 2 for the remainder after subtracting 20 - 18 = 2. So we the numbers to create the mixed number, 3 and 2/6. Now we reduce the fraction 2/6 because each number is a multiple of 2, therefore we divide 2 ÷ 2 = 1 and 6 ÷ 2 = 3 . So our final answer is 3 and 1/3.

Example 4

Example 4:

To convert an improper fraction to a mixed number, we need to use long division, and use the divisor (7), the quotient (5), and the remainder (0) to write the mixed number. In order to pick the quotient, we need to pick the multiple of 5 that is closest to dividend (35) without going over. In this case, it is 35. Now we have 7 x 5 = 35. So we use that 5 for the quotient and have 0 for the remainder after subtracting 35 - 35 = 0. So we the numbers to create the mixed number, 5 and 0/7. We are not going to see a number written like that so we write as just the number, 5. So yes, whole numbers are mixed numbers including 1, 2, 3, and so on.

Example 5

Example 5:

To convert an improper fraction to a mixed number, we need to use long division, and use the divisor (8), the quotient (3), and the remainder (4) to write the mixed number. In order to pick the quotient, we need to pick the multiple of 5 that is closest to dividend (20) without going over. In this case, it is 24. Now we have 8 x 3 = 24. So we use that 3 for the quotient and have 4 for the remainder after subtracting 28 - 24 = 4. So we the numbers to create the mixed number, 3 and 4/8. Now we reduce the fraction 4/8 because each number is a multiple of 4, therefore we divide 4 ÷ 4 = 1 and 8 ÷ 4 = 2 . So our final answer is 3 and 1/2.

Live Worksheet

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