Fractions, SM-Bank 044

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

`2 5/8 + 1 3/4` (2 mark)

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`4 5/6 + 3 4/9` (2 mark)

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`1 3/5 + 5 2/3 + 4 7/10` (2 marks)

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Show Answers Only

a. `4 3/8`

b. `8 5/18`

c. `11 29/30`

Show Worked Solution

a. Method: Adding whole number parts first

	`2 5/8+1 3/4`	`=2 + 1 + 5/8 + 3/4\ \ \ text(LCD)\= 8`
		`= 3 + 5/8 + 6/8`
		` = 3 + 11/8 = 4 3/8`

b. Method: Adding whole number parts first

	`4 5/6 +3 4/9`	`=4 + 3 + 5/6 + 4/9\ \ \ text(LCD)\= 18`
		`= 7 + (5 xx 3)/(6 xx 3) + (4 xx 2)/(9 xx 2)`
		` = 7 + 15/18 + 8/18`
		`= 7 + 23/18 = 8 5/18`

c. Method: Adding whole number parts first

	`1 3/5+5 2/3+4 7/10`	`=1 + 5 + 4 +3/5 +2/3+7/10\ \ \ text(LCD)\= 30`
		`= 10 + (3 xx 6)/(5 xx 6) + (2 xx 10)/(3 xx 10) + (7 xx 3)/(10 xx 3)`
		` = 10 + 18/30 + 20/30 + 21/30`
		`= 10 + 59/30 = 11 29/30`