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

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The equation is $\"\"$ .

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Write the mixed numbers into improper fraction.

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The improper fraction of $\"\"$ ( $\"\"$ )

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$\"\"$

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$\"\"$

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Apply subtraction property of equality: Subtract $\"\"$ from each side.

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$\"\"$

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Apply commutative property of addition: a + b = b + a.

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$\"\"$

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

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To subtract 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, 16.........

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Multiples of 3: 3, 6, 9, 12, 15, 18, 21...........

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The least common multiple of 2 and 3 is 6. $\"\"$

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Rewrite each fraction with a common denominator of 6.

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$\"\"$

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$\"\"$

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$\"\"$ (Lcm is 6)

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

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$\"\"$ (Lcm is 6)

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$\"\"$ (Add: 4 + 5 = 9)

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$\"\"$ (Divide: $\"\"$ )

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The equation is true.

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$\"\"$

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The value of $\"\"$ .