$\"\"$

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The equation is $\"\"$ .

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The improper fraction of $\"\"$ .

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$\"\"$

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Apply addition property of equality: If a = b then a + b = b + c.

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ ) $\"\"$

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To add fractions the denominators must be equal.

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Find the least common denominator (LCD).

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Multiples of 2: 2, 4, 6, 8, 10, 12, 14,........

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Multiples of 8: 8, 16, 24, 32, 40, 48,........

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The least common multiple of 2 and 8 is 8.

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Rewrite each fraction with a common denominator of 8.

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$\"\"$ $\"\"$

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Rewrite fractions using the LCD 8.

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$\"\"$

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$\"\"$ (LCM is 8)

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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Check:

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To check the solution, substitute $\"\"$ in original equation.

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$\"\"$

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Rewrite each fraction with a common denominator of 8.

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$\"\"$

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$\"\"$ (LCM is 8)

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$\"\"$ (Subtract: $\"\"$ )

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The statement is true. $\"\"$

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To graph the solution on the number line:

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First draw the number line
Mark a dot at $\"\"$ on the number line

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$\"graph$

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$\"\"$

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The value of $\"\"$ .