Question

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer 1

Find common denominators, note that what you multiply (or divide) to the denominator, you must also do the same to the numerator.

1)

`(2)/(3) , (3)/(4) \\(2)/(3) * (4)/(4) = (8)/(12) \\(3)/(4) * (3)/(3) = (9)/(12)`

Answers:
`(8)/(12) ; (9)/(12)`

2)

`(1)/(4) , (2)/(3) \\(1)/(4) * (3)/(3) = (3)/(12)\\(2)/(3) * (4)/(4) = (8)/(12)`

Answers:
`(3)/(12) ; (8)/(12)`

3)

`(3)/(10) , (1)/(2) \\(3)/(10) * (1)/(1) = (3)/(10)\\(1)/(2) * (5)/(5) = (5)/(10)`

Answers:
`(3)/(10) ; (5)/(10)`

4)

`(3)/(5) , (3)/(4)\\(3)/(5) * (4)/(4) = (12)/(20)\\(3)/(4) * (5)/(5) = (15)/(20)`

Answers:
`(12)/(20) ; (15)/(20)`

5)

`(2)/(4) , (7)/(8) \\(2)/(4) * (8)/(8) = (16)/(32)\\(7)/(8) * (4)/(4) = (28)/(32)`

Answers:
`(16)/(32) ; (28)/(32)`

6)

`(2)/(3) , (5)/(12)`

`(2)/(3) * (12)/(12) = (24)/(36) \\(5)/(12) * (3)/(3) = (15)/(36)`

Answers:
`(24)/(36) ; (15)/(36)`

7)

`(1)/(4) , (1)/(6) \\\\(1)/(4) * (6)/(6) = (6)/(24) \\(1)/(6) * (4)/(4) = (4)/(24)`

Answers:
`(6)/(24) ; (4)/(24)`

Find common denominators, note that what you do to the denominator, you do to the numerator:

8.

`(1)/(2) [] (2)/(5) \\((5)/(5)) (1)/(2) [] (2)/(5) ((2)/(2))\\(5)/(10) \\eq (4)/(10)`

Answer: Does not equal.

9.

`(1)/(2) [] (3)/(6) \\(1)/(2) (* (3)/(3)) [] (3)/(6)\\(1 * 3)/(2 * 3) [] (3)/(6) \\(3)/(6) = (3)/(6) \\\\(1)/(2) = (3)/(6)`

Answer: Does equal.

10.

`(3)/(4) [] (5)/(6)\\((6)/(6))(3)/(4) [] (5)/(6)((4)/(4))\\(18)/(24) \\eq (20)/(24)`

Answer: Does not equal.

11.

`(6)/(10) [] (3)/(5) \\(6)/(10) [] ((3)/(5) )((2)/(2))\\(6)/(10) [] ((3 * 2)/(5 * 2))\\(6)/(10) = (6)/(10)`

Answer: Does equal.

12. You are simply only looking for the least number of parts that both rectangles can be divided too. Find the least common multiple of both 3 and 4:

Multiples of 3: 3, 6, 9, 12

Multiples of 4: 4, 8, 12

12 is your answer.

13. Find common denominators. Note that what you do to denominator, you do to the numerator:

`(2)/(5) * (2)/(2) = (4)/(10)\\(1)/(2) * (5)/(5) = (5)/(10)`

Answers:
`(4)/(10)` ,
`(5)/(10)`

~