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OpenStudy (anonymous):
Simplify. Show your work.
5 1/3 +(-3 9/18)
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OpenStudy (shinalcantara):
\[5\frac{ 1 }{ 3 } - 3 \frac{ 9 }{ 18 }\]
change it first into improper fraction for easier solution
OpenStudy (shinalcantara):
after changing into improper fraction, get its LCD
OpenStudy (shinalcantara):
what did you get?
OpenStudy (anonymous):
8/1 - 21/9 @shinalcantara ?
OpenStudy (shinalcantara):
try to recheck.. in finding the improper fraction, you'll have:
|dw:1411489506703:dw|
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OpenStudy (anonymous):
63/18 @shinalcantara
OpenStudy (shinalcantara):
yep
OpenStudy (shinalcantara):
\[\frac{ 16 }{ 3 } - \frac{ 63 }{ 18 }\]
now find the LCD
OpenStudy (anonymous):
3
OpenStudy (shinalcantara):
what number that when divided by both 3 and 18 will have a whole number as a quotient?
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OpenStudy (shinalcantara):
is 3/18 be having a whole number as a quotient?
OpenStudy (shinalcantara):
wouldn't it be 18?
OpenStudy (shinalcantara):
\[\frac{ 16 }{ 3 }-\frac{ 63 }{ 18 } =\frac{ 6(16)-63 }{ 18 }\]
OpenStudy (shinalcantara):
18 divided by 3 makes 6. 6 is multiplied to the numerator which is 16.
18 divided by 18 is 1 multiplied to 63 is still 63. now you simplify
OpenStudy (anonymous):
32/21 @shinalcantara
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OpenStudy (shinalcantara):
recheck..
what's 6*16?
OpenStudy (anonymous):
its 96 @shinalcantara
OpenStudy (shinalcantara):
\[\frac{ 96-63 }{ 18 }\]
now subtract for you to have a value for the numerator
OpenStudy (anonymous):
96-63=33 @shinalcantara
OpenStudy (shinalcantara):
that makes the answer\[\frac{ 33 }{ 18 } \]
now reduce this to lowest term by dividing both 33 and 18 by 3
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