(3\5*-10\9)+(-4\5*1\-8)-(2\5*-15\16
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Answer:
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\begin{gathered}( \frac{3}{5} \times - \frac{10}{9} ) + ( - \frac{4}{5} \times \frac{1}{ - 8} ) - ( \frac{2}{5} \times - \frac{15}{16} ) \\ \\ = (\frac{3 \times - 10}{5 \times 9} ) + ( \frac{ - 4 \times 1}{5 \times - 8} ) - ( \frac{2 \times - 15}{5 \times 16} ) \\ \\ = ( \frac{1 \times - 2}{1 \times 3} ) + ( \frac{ - 1 \times 1}{5 \times - 2} ) - ( \frac{1 \times - 3}{1 \times 8} ) \\ \\ = (\frac{ - 2}{3} ) + ( \frac{ - 1}{ - 10} ) - ( \frac{ - 3}{8} ) \\ \\ = ( \frac{ - 2}{3} ) + ( \frac{1}{10} ) - ( \frac{ - 3}{8} ) \\ \\ = \frac{ - 2}{3} + \frac{1}{10} + \frac{3}{8} \\ \\ taking \: lcm \: we \: get \: 120 \\ \\ = \frac{ - 2 \times 40 + 1 \times 12 + 3 \times 15}{120} \\ \\ = \frac{ - 80 + 12 + 45}{120} \\ \\ = \frac{ - 80 + 57}{120} \\ \\ = \frac{ - 23}{120} \end{gathered}
(
5
3
×−
9
10
)+(−
5
4
×
−8
1
)−(
5
2
×−
16
15
)
=(
5×9
3×−10
)+(
5×−8
−4×1
)−(
5×16
2×−15
)
=(
1×3
1×−2
)+(
5×−2
−1×1
)−(
1×8
1×−3
)
=(
3
−2
)+(
−10
−1
)−(
8
−3
)
=(
3
−2
)+(
10
1
)−(
8
−3
)
=
3
−2
+
10
1
+
8
3
takinglcmweget120
=
120
−2×40+1×12+3×15
=
120
−80+12+45
=
120
−80+57
=
120
−23