Adding Mixed Numbers

Adding Mixed Numbers First add the fractions. If necessary, rename the fractions with the LCD. Then add or subtract the whole numbers and simplify. 4 9 2 9 6 9 2 3 7 10 17 17 + = =

Try Some More 5 9 1 6 9 6 3 1 + 4 = 3 2 LCD = 18 10 18 3 18 13 18 + 1 4 5 =

Your Turn 1 12 7 12 2 3 + 3 14 17 = 7 10 3 5 1 10 - 9 4 5 =

Another Example 5 9 2 3 9 3 - 3 11 8 3 1 LCD = 9 5 9 6 9 Borrow from the whole number, to get a larger numerator. - 11 8 5 9 14 One whole is equal to 9 pieces. Add 9 + 5 to get the new numerator. 10 11 9

Another Example 8 9 2 3 14 = 10 - 2 8 9

Another way to look at it… 1 4 3 3 wholes

Another way to look at it… 1 4 3 5 pieces 2 wholes 1 4 5 4 Can be renamed as… 3 2

Another Example 3 8 7 8 10 8 Rename the improper fraction. + 2 5 7 = 1 2 8 1 4 2 8 8 10 8 8 1 + 7 = = 8 2