$\"\"$

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Write the mixed numbers as an improper fraction.

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$\"\"$

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$\"\"$

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Rewrite the expression

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$\"\"$

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$\"\"$

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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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Write the prime factorization of each denominator.

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$\"\"$

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$\"\"$

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$\"\"$

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Multiply the highest power of each factor in either number.

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$\"\"$

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LCD of the fractions is 64. $\"\"$

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Rewrite the equivalent fractions using the LCD.

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$\"\"$

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$\"\"$

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$\"\"$

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Rewrite the expression using the LCD.

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

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Denominators are same, write sum of numerators over denominator. $\"\"$

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Add the numerators.

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$\"\"$

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$\"\"$

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Simplify the expression.

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Rewrite the improper fraction $\"\"$ as a mixed number.

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Begin by dividing 417 by 64. The remainder will be the numerator of the

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mixed number’s fraction.

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

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The value of the expression is $\"\"$ .