Fractions, SM-Bank 042

Add the following fractions giving your answer in simplest form.

`1/3 + 1/4` (1 mark)

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`3/10 + 1/5` (2 mark)

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`1/2 + 1/3 + 1/8` (2 marks)

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Show Answers Only

a. `7/12`

b. `1/2`

c. `23/24`

Show Worked Solution

a.	`1/3+1/4`	`= (1xx4)/(3 xx 4) + (1 xx 3)/(4 xx 3)\ \ \ text(LCD)\= 12`
		`= 4/12 + 3/12`
		` = 7/12`

b.	`3/10 +1/5`	`= 3/10 + (1 xx 2)/(5 xx 2)\ \ \ text(LCD)\= 10`
		`= 3/10 + 2/10`
		` = 5/10 = 1/2`

c.	`1/2 +1/3 + 1/8`	`= (1 xx 12)/(2 xx 12) + (1 xx 8)/(3 xx 8) + (1 xx 3)/(8 xx 3)\ \ \ text(LCD)\= 24`
		`= 12/24 + 8/24 + 3/24`
		` = 23/24`