Fractions, SM-Bank 043

Add the following mixed numbers giving your answer in simplest form.

`1 1/3 + 1 2/3` (1 mark)

--- 3 WORK AREA LINES (style=lined) ---
`2 4/9 + 1 2/9` (2 mark)

--- 3 WORK AREA LINES (style=lined) ---
`1 1/11 + 2 5/11 + 4 7/11` (2 marks)

--- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

a. `3`

b. `3 2/3`

c. `8 2/11`

Show Worked Solution

a. Method 1: Adding whole number parts first

	`1 1/3+1 2/3`	`=1 + 1 +1/3 + 2/3`
		`= 2 + 3/3`
		` = 3`

Method 2: Changing to improper fractions

	`1 1/3+1 2/3`	`=(3 xx 1 + 1)/3 + (3 xx 1 + 2)/3`
		`= 4/3 + 5/3`
		` = 9/3 = 3`

b. Method 1: Adding whole number parts first

	`2 4/9 +1 2/9`	`=2 + 1 +4/9 + 2/9`
		`= 3 + 6/9`
		` = 3 2/3`

Method 2: Changing to improper fractions

	`2 4/9 +1 2/9`	`=(2 xx 9 + 4)/9 + (1 xx 9 + 2)/9`
		`= 22/9 + 11/9`
		` = 33/9 `
		`= 3 6/9 = 3 2/3`

c. Method 1: Adding whole number parts first

	`1 1/11+2 5/11+4 7/11`	`=1 + 2 + 4 +1/11 +5/11+7/11`
		`= 7 + 13/11`
		` = 8 2/11`

Method 2: Changing to improper fractions

	`1 1/11+2 5/11+4 7/11`	`=(1 xx 11 + 1)/11 +(2 xx 11 + 5)/11 + (4 xx 11 + 7)/11 +`
		`= 12/11 + 27/11+51/11`
		` = 90/11 = 8 2/11`