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Câu 3:
a) \(\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}\)
\(\dfrac{-16}{20}=\dfrac{-16:4}{20:4}=\dfrac{-4}{5}\)
b) \(\dfrac{21}{105}=\dfrac{21:21}{105:21}=\dfrac{1}{5}\)
\(\dfrac{35}{150}=\dfrac{35:5}{150:5}=\dfrac{7}{30}\)
Câu 4:
a) \(\dfrac{3}{10}+\dfrac{5}{10}=\dfrac{3+5}{10}=\dfrac{8}{10}=\dfrac{4}{5}\)
b) Ta có: \(\left(-27\right)\cdot36+64\cdot\left(-27\right)+23\cdot\left(-100\right)\)
\(=\left(-27\right)\cdot\left(64+36\right)+23\cdot\left(-100\right)\)
\(=-27\cdot100-23\cdot100\)
\(=100\left(-27-23\right)\)
\(=-50\cdot100=-5000\)
c) \(\dfrac{5}{8}+\dfrac{3}{12}=\dfrac{15}{24}+\dfrac{6}{24}=\dfrac{21}{24}=\dfrac{7}{8}\)
d) Ta có: \(\dfrac{-2}{17}+\dfrac{3}{19}+\dfrac{-15}{17}+\dfrac{16}{19}+\dfrac{5}{6}\)
\(=\left(-\dfrac{2}{17}+\dfrac{-15}{17}\right)+\left(\dfrac{3}{19}+\dfrac{16}{19}\right)+\dfrac{5}{6}\)
\(=-1+1+\dfrac{5}{6}\)
\(=\dfrac{5}{6}\)
1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
\(1+2+3+4+5+6+7+8+9+10=55\)
\(11+12+13+14+15+16+17+18+19+20=155\)
15) $|-18| + (-12)=18-12=6$
16) $17+ |-33|=17+33=50$
17) $(– 20) + |-88|=-20+88=68$
18) $|-3| + |5|=3+5=8$
19) $|-37| + |15|=37+15=52$
20) $|-37| + (-|15|)=37-15=22$
21) $(-|-32|) + |5| 22)(-|-22|)+ (-|16|)=-32+5.22-22=-32+4.22=-32+88=56$
23) $(-23) + 13 + ( - 17) + 57=-23+13-17=-40+13=-23$
24) $14 + 6 + (-9) + (-14)=14+6-9-14=6-9=-3$
25) $(-123) +|-13|+ (-7)=-123+13-7=-110-7=-117$
26) $|0|+|45|+(-|-455)|+|-796|=0+45-455+796=-410+796=386$
Đáp án cần chọn là: B
9.8 − 7.18 3 2 .10 = 9.8 − 7.9.2 9.10 = 8 − 14 10 = − 3 5 16 .19 − 26 . 19 57 . 3 − 19 = 16 .19 − 26 . 19 19.3 . 3 − 19 = 16 − 26 9 − 1 = − 5 4
MSC = 20
− 3 5 = − 3.4 5.4 = − 12 20 ; − 5 4 = − 5.5 4.5 = − 25 20
Vậy sau khi quy đồng ta được hai phân số: − 12 20 và − 25 20 .