Mixed Numbers and Improper Fractions

Warm Up Write each fraction in simplest form. 𝟏𝟒 𝟑𝟓 𝟓𝟓 𝟏𝟐𝟏 𝟑𝟔 𝟏𝟒𝟒 𝟕𝟐 𝟏𝟎𝟖 𝟐 𝟓 𝟓 𝟏𝟏 𝟏 𝟒 𝟐 𝟑

An improper fraction has a numerator greater than or equal to its denominator. A mixed number shows the sum of a whole number and a fraction.

Changing a mixed number to an improper fraction. Example 1: Change 2 𝟑 𝟒 𝐭𝐨 𝐚𝐧 improper fraction. Multiply the whole number by the denominator. 2 x 4 = 8 Add the product to the numerator and this is the new numerator. 8 + 3 = 11 𝟏𝟏 𝟒 Keep the same denominator.

Example 2: Change 3 𝟓 𝟔 𝐭𝐨 𝐚𝐧 improper fraction. 𝟐𝟑 𝟔

Find out how many times 6 will go in to 15. Example 3: Change 𝟏𝟓 𝟔 𝐭𝐨 𝐚 mixed number. Find out how many times 6 will go in to 15. 2 is the number of wholes and 3 is the remainder (part). 2 6 15 - 12 2 𝟑 𝟔 = 2 𝟏 𝟐 3

Example 4: Change 𝟐𝟖 𝟑 𝐭𝐨 𝐚 mixed number. 9 𝟏 𝟑

Practice Change to a mixed number. 𝟏𝟓 𝟐 𝟐𝟑 𝟑 Change to an improper fraction. 3. 5 𝟏 𝟑 4. 7 𝟐 𝟓 7 𝟏 𝟐 7 𝟐 𝟑 𝟏𝟔 𝟑 𝟑𝟕 𝟓

Change 𝟏𝟒𝟒 𝟑 to a mixed number. Closure Change 𝟏𝟒𝟒 𝟑 to a mixed number. 48