Divide (3/8+-5/12) by the reciprocal of (-15/8*16/12)
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\begin{gathered}\begin{array} { c } { \frac { 3 } { 8 } \text { and } - \frac { 5 } { 12 } = \frac { 3 } { 8 } + \left( - \frac { 5 } { 12 } \right) = \frac { 3 } { 8 } - \frac { 5 } { 12 } = \frac { 9 - 10 } { 24 } = - \frac { 1 } { 24 } } \\\\ { - \frac { 15 } { 8 } \times \frac { 16 } { 27 } = - \frac { 10 } { 9 } } \end{array}\end{gathered}
8
3
and −
12
5
=
8
3
+(−
12
5
)=
8
3
−
12
5
=
24
9−10
=−
24
1
−
8
15
×
27
16
=−
9
10
And, reciprocal of -\frac{10}{9} =-\frac{9}{10}−
9
10
=−
10
9
Hence, on dividing -\frac{1}{24} and -\frac{9}{10}−
24
1
and−
10
9
= - \frac { 1 } { 24 } \div - \frac { 9 } { 10 } = \frac { 1 } { 24 } \times \frac { 10 } { 9 } = \frac { 5 } { 108 }=−
24
1
÷−
10
9
=
24
1
×
9
10
=
108
5
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