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almond37 [142]
3 years ago
15

What is the least common denominator (LCD) of 1/2 and 2/3 ?

Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
So basically you just want to find the LCM of the denominators shown, or 2 and 3. 

So in this case, you could use the most inefficient method, or listing the multiples out:

2 : 2, 4, 6

3: 3, 6, 9

And as you can see, the first multiple that matches is 6. So your answer would be B, 6.
kherson [118]3 years ago
6 0

Answer:

B(6

Step-by-step explanation:

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Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

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Plug this value for y in one of the equation, for example the first:

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\begin{cases}x=y\\x=3y+4\end{cases}

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In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

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