Question

Match the addition and subtraction problems to their solutions:

Answer 1

1. B

2.c

3. E

4.d

5.A

Explanation:

Answer 2

we conclude that:

5/7 - 3/7: B 2/7

1/6+3/6: C 2/3

1/2+1/4: E 3/4

1/5+1/2: D 7/10

1/6-1/8: A 1/24

Explanation:

1)

Given the expression

`(5)/(7)-(3)/(7)`

Apply the fraction rule:
`(a)/(c)-(b)/(c)=(a-b)/(c)`

`(5)/(7)-(3)/(7)=(5-3)/(7)`

Add the numbers:
`5-3=2`

`=(2)/(7)`

2)

Given the expression

`(1)/(6)+(3)/(6)`

Apply the fraction rule:
`(a)/(c)+(b)/(c)=(a+b)/(c)`

`(1)/(6)+(3)/(6)=(1+3)/(6)`

Add the numbers:
`1+3=4`

`=(4)/(6)`

Cancel 4/6: 2/3

`=(2)/(3)`

3)

Given the expression

`(1)/(2)+(1)/(4)`

Lease common multiplier of 2, 4: 4

Adjust fractions based on LCM

`(1)/(2)+(1)/(4)=(2)/(4)+(1)/(4)`

Apply the fraction rule:
`(a)/(c)+(b)/(c)=(a+b)/(c)`

`(2)/(4)+(1)/(4)=(2+1)/(4)`

Add the numbers:
`2+1=3`

`=(3)/(4)`

4)

`(1)/(5)+(1)/(2)`

Lease common multiplier of 5, 2: 10

Adjust fractions based on LCM

`(1)/(5)+(1)/(2)=(2)/(10)+(5)/(10)`

Apply the fraction rule:
`(a)/(c)+(b)/(c)=(a+b)/(c)`

`(2)/(10)+(5)/(10)=(2+5)/(10)`

Add the numbers: 2+5 = 7

`=(7)/(10)`

5)

Given the expression

`(1)/(6)-(1)/(8)`

Lease common multiplier of 6, 8: 24

Adjust fractions based on LCM

`(1)/(6)-(1)/(8)=(4)/(24)-(3)/(24)`

Apply the fraction rule:
`(a)/(c)-(b)/(c)=(a-b)/(c)`

`(4)/(24)-(3)/(24)=(4-3)/(24)`

`=(1)/(24)`

Therefore, we conclude that:

5/7 - 3/7: B 2/7

1/6+3/6: C 2/3

1/2+1/4: E 3/4

1/5+1/2: D 7/10

1/6-1/8: A 1/24