Perform the indicated operation., 1. , 2022, (pakisagutan po ng maayos), Nonsense + Unhelpful + Hula = Report,

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Perform the indicated operation.


1.  \frac{5}{6}  \frac{2}{3}

(pakisagutan po ng maayos)
Nonsense + Unhelpful + Hula = Report


Answer:

6

5

=−

2

3

(Decimal:−1.5)

\dfrac{-2}{3}-\dfrac{5}{6}

3

−2

6

5

\gray{\mathrm{Apply\:the\:fraction\:rule}:\quad \dfrac{-a}{b}=-\dfrac{a}{b}}Applythefractionrule:

−a

=−

a

=-\dfrac{2}{3}-\dfrac{5}{6}=−

3

2

6

5

\black{\mathrm{Least\:Common\:Multiplier\:of\:}3,\:6:\quad 6}\blackLeastCommonMultiplierof3,6:6

\black{\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}}\blackAdjustFractionsbasedontheLCM

\gray{\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}}Multiplyeachnumeratorbythesameamountneededtomultiplyits \gray{\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6}correspondingdenominatortoturnitintotheLCM6

\gray{\mathrm{For}\:\dfrac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:2}For

3

2

:multiplythedenominatorandnumeratorby2

\dfrac{2}{3}=\dfrac{2\cdot \:2}{3\cdot \:2}=\dfrac{4}{6}

3

2

=

3⋅2

2⋅2

=

6

4

=-\dfrac{4}{6}-\dfrac{5}{6}=−

6

4

6

5

\gray{\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \dfrac{a}{c}\pm \dfrac{b}{c}=\dfrac{a\pm \:b}{c}}Sincethedenominatorsareequal,combinethefractions:

c

a

±

c

=

c

=\dfrac{-4-5}{6}=

6

−4−5

\gray{\mathrm{Subtract\:the\:numbers:}\:-4-5=-9}Subtractthenumbers:−4−5=−9

=\dfrac{-9}{6}=

6

−9

\gray{\mathrm{Apply\:the\:fraction\:rule}:\quad \dfrac{-a}{b}=-\dfrac{a}{b}}Applythefractionrule:

−a

=−

a

=-\dfrac{9}{6}=−

6

9

\gray{\mathrm{Cancel\:the\:common\:factor:}\:3}Cancelthecommonfactor:3

=-\dfrac{3}{2}=−

2

3


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