12 and 1/2 + 1 and 5/8
1 answer:
Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions and
and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
<u>Least Common Denominator:</u>
=
=
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8
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You can start with the form
∆y(x -x1) -∆x(y -y1) = 0
Here, we have
∆y = 11-(-3) = 14
∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
14(x -1) -(-4)(y -(-3)) = 0
14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:
7x +2y = 1
∆y(x -x1) -∆x(y -y1) = 0
Here, we have
∆y = 11-(-3) = 14
∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
14(x -1) -(-4)(y -(-3)) = 0
14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:
7x +2y = 1