Mixed Numbers and Improper Fractions

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✏️ Part 1: Mixed Numbers to Improper Fractions

To change a mixed number into an improper fraction, multiply the whole number by the denominator, add the numerator, and keep the same denominator.

Example: 2 3/5 = (2 × 5 + 3)/5 = 13/5

1. Write 1 2/3 as an improper fraction.

2. Write 3 1/4 as an improper fraction.

3. Write 4 5/6 as an improper fraction.

4. Write 6 3/8 as an improper fraction.

Divide the numerator by the denominator. The quotient is the whole number and the remainder becomes the numerator.

5. Write 11/3 as a mixed number in its simplest form.

6. Write 19/4 as a mixed number in its simplest form.

7. Write 29/5 as a mixed number in its simplest form.

8. Write 35/6 as a mixed number in its simplest form.

9. A ribbon is 2 3/4 metres long. Write its length as an improper fraction of a metre.

10. A recipe uses 17/4 cups of flour. Write this amount as a mixed number in its simplest form.

11. Explain how you can check that a mixed number and an improper fraction are equivalent.