This pdf explains improper fractions and mixed numbers. A proper fraction is a fraction whose numerator is smaller than its denominator. An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.
1. Understanding improper fractions and mixed numbers
2. Proper Fractions The numerator This shows us the number 3 of pieces we have. The denominator This shows us the number 4 of parts we are dividing by. A proper fraction is where the numerator is less than the denominator.
3. Improper Fractions The numerator This shows us the number 7 of pieces we have. The denominator This shows us the number 4 of parts we are dividing by. An improper fraction is where the numerator is greater than or equal to the denominator. This happens because you have a whole or more than a whole.
4. Improper Fractions to Mixed Numbers You can convert an improper fraction into a mixed number. Divide the numerator (7) by the denominator (4). 7 ÷ 4 = 1 r3 4 1 r3 written as a mixed number is 1 3 4
7. Mixed Numbers to Improper Fractions You can also convert a mixed number into an improper fraction. First you need to multiply the whole number by the denominator. 2 1 3 2×3=6 Then add the total to the numerator. 6 + 1 = 7 7 Then write the answer over the denominator. 3
8. Mixed Numbers to Improper Fractions Convert these mixed numbers into improper fractions: 1 3 4 3 2 5 5 4 7
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