find the difference -7/9-8/-9
Answers
Answer:
Givenfractionsare
9
4
and
12
5
.
LCM \: of \: 9 \: and \: 12 = 3 \times 3 \times 4 = 36.LCMof9and12=3×3×4=36.
\begin{gathered}Now, \: \dfrac{4}{9} = \dfrac{4 \times 4}{9 \times 4} = \dfrac{16}{36} \\ and , \: \dfrac{5}{12} = \dfrac{5 \times 3}{12 \times 3} = \dfrac{15}{36.} \end{gathered}
Now,
9
4
=
9×4
4×4
=
36
16
and,
12
5
=
12×3
5×3
=
36.
15
Clearly, \: \dfrac{16}{36} > \dfrac{15}{36}Clearly,
36
16
>
36
15
∴ \dfrac{4}{9} > \dfrac{5}{12} .∴
9
4
>
12
5
.
Now, \: \dfrac{4}{9} - \dfrac{5}{12} = \dfrac{16}{36} - \dfrac{15}{36} = \dfrac{16 - 15}{36} = \dfrac{1}{36.}Now,
9
4
−
12
5
=
36
16
−
36
15
=
36
16−15
=
36.
1
\large\tt\green {Additional\: information:-}Additionalinformation:−
Sum \: of \: like \: fractions = \dfrac{sum \: of \: numerators}{common \: denominator}Sumoflikefractions=
commondenominator
sumofnumerators
Difference \: of \: like \: fractions = \dfrac{difference \: of \: numerators}{common \: denominator}Differenceoflikefractions=
commondenominator
differenceofnumerators
\begin{gathered}When \: we \: find \: the \: difference \: of \\ two \: unlike \: fractions, \: we \: convert \\ them \: into \: equivalent \: fractions \\ with \: a \: denominator \: equal \: to \: the \: LCM \\ of \: the \: denominators \: of \: the \: given \: fractions. \\ Now, \: these \: like \: fractions \: can \: be \: subtracted \\ as \: given \: above.\end{gathered}
Whenwefindthedifferenceof
twounlikefractions,weconvert
themintoequivalentfractions
withadenominatorequaltotheLCM
ofthedenominatorsofthegivenfractions.
Now,theselikefractionscanbesubtracted
asgivenabove.
Answer:
(-7/9)-(-8/-9)
=-7/9-8/9
=-7-8/9