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$\"\"$

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The equation is $\"\"$

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$\"\"$ (Using distributive property: ab+ac= a (b+c))

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Find the Least Common Denominator (LCD) of improper fraction $\"\"$ and $\"\"$ .

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Find the Least Common Multiple of 7 and 3.

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Multiples of 7: $\"\"$

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Multiples of 3: $\"\"$

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The least common multiple of 3 and 7 is 21, the LCD is 21.

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Rewrite each fraction using the least common denominator (LCD).

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$\"\"$ and $\"\"$

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$\"\"$

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Rewrite the sum using the LCD.

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$\"\"$ \ \

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$\"\"$ (Add: $\"\"$ )

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$\"\"$

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$\"\"$ (Multiply each side by 21.)

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$\"\"$ \ \

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$\"\"$ (Cancel common terms) \ \

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$\"\"$ (Divide each side by 26)

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$\"\"$ (Cancel common terms)

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$

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Verify:

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

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$\"\"$

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(Substitute $\"\"$ )

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$\"\"$ \ \

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$\"\"$ (Cancel common terms)

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$\"\"$ (Multiply $\"\"$ )

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$\"\"$ (Add $\"\"$ )

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Compare the values, the equation is true. The solution is $\"\"$ .

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$\"\"$

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The value of $\"\"$ .

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