1. •
(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
a±
=\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
