5/6,3/8 The LCD is 2 24 48

Solution:

Given that,

We have to find the least common denominator

The denominators are 6, 8

List all prime factors for each number.

Prime Factorization of 6 is:

2 x 3  

Prime Factorization of 8 is:

2 x 2 x 2

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

2, 2, 2, 3

Multiply these factors together to find the LCM

LCM = 2 x 2 x 2 x 3 = 24

Thus the least common denominator is 24

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step-by-step explanation:

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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