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Mathematics 8 Online
OpenStudy (anonymous):

1/7 + 1/6 - 1/4 - 1/2?

OpenStudy (chaise):

-37/84. Do you need help on how this answer was obtained?

OpenStudy (anonymous):

Hm, that's what i got. But i wasn't sure since the number was so outrageous...thanks :)

OpenStudy (anonymous):

\[(1)/(7)+(1)/(6)-(1)/(4)-(1)/(2)\] To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 84. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions. \[(1)/(6)*(14)/(14)-(1)/(4)*(21)/(21)-(1)/(2)*(42)/(42)+(1)/(7)*(12)/(12)\] Complete the multiplication to produce a denominator of 84 in each expression. \[(14)/(84)-(21)/(84)-(42)/(84)+(12)/(84)\] Combine the numerators of all fractions that have common denominators. \[(14-21-42+12)/(84)\] Combine all like terms in the numerator. \[(-37)/(84)\] Move the minus sign from the numerator to the front of the expression. \[-(37)/(84)\]

OpenStudy (anonymous):

got it

OpenStudy (anonymous):

yes, thank you very much.

OpenStudy (anonymous):

any more questions

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