Answer:
1.(i) To add 11/4 and 5/8, you need to find a common denominator. Let's convert 11/4 to the common denominator of 8:
11/4 = (11/4) * (2/2) = 22/8
Now, we can add the fractions:
22/8 + 5/8 = (22 + 5) / 8 = 27/8
(ii) To add 12/21 and -15/18, let's first find a common denominator, which in this case would be 42 (the least common multiple of 21 and 18).
12/21 is equivalent to 24/42 when converted to this common denominator.
-15/18 is equivalent to -35/42 when converted to this common denominator.
24/42 + (-35/42) = (24 - 35) / 42 = -11/42
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Verified answer
Answer:
1.(i) To add 11/4 and 5/8, you need to find a common denominator. Let's convert 11/4 to the common denominator of 8:
11/4 = (11/4) * (2/2) = 22/8
Now, we can add the fractions:
22/8 + 5/8 = (22 + 5) / 8 = 27/8
(ii) To add 12/21 and -15/18, let's first find a common denominator, which in this case would be 42 (the least common multiple of 21 and 18).
12/21 is equivalent to 24/42 when converted to this common denominator.
-15/18 is equivalent to -35/42 when converted to this common denominator.
Now, we can add the fractions:
24/42 + (-35/42) = (24 - 35) / 42 = -11/42