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1. Put parentheses around the numerators:
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2. The denominators are 6 and 8
3. The smallest positive whole number which 6 and 8 will both
go into without leaving a remainder is 24.
4. 24 is the LCD, the least common denominator.
5. The denominator 6 needs to be multiplied by 4 to become 24.
6. We multiply the first fraction by the fraction , which
will not change the value because multiplying by is the
same as multiplying by 1.
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7. The denominator 8 needs to be multiplied by 3 to become 24.
8. We multiply the second fraction by the fraction , which
also will not change the value because multiplying by is
the same as multiplying by 1.
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9. Multiply numerators and denominators:
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10. Finish the multiplications:
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11. Now that the fractions have equal denominators, we add
the two numerators and place it over the 24.
12. Remove the parentheses in the numerator:
13. Combine like terms in the numerator:
Edwin