(-7/12 + 5/8) - (-3/8 + 5/12)=
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\(\dfrac{7}{5}+\dfrac{4}{7}-\dfrac{9}{10}=\dfrac{49-20}{35}-\dfrac{9}{10}=\dfrac{19}{35}-\dfrac{9}{10}=\dfrac{190-315}{350}=\dfrac{-125}{350}\)
\(\dfrac{2}{1}+\dfrac{3}{4}\text{×}\dfrac{8}{5}=\dfrac{8+3}{4}\text{×}\dfrac{8}{5}=\dfrac{11\text{×}8}{4\text{×}5}=\dfrac{88}{20}\)
mấy câu kia áp dụng là dc!
tính
( 3/8+-3/4+7/12):5/6+1/2
=(-3/8+7/12):5/6+1/2
=5/24:5/6+1/2
=1/4+1/2
=3/4
a 25 phần 41
b 9
c 1 phần 12
d 12
e 14 phần 15
f 24 phần 7
=43/12-16/6.(20/32+7/32)
=43/12-16/6.27/32
=43/12-9/4
=43/12-27/12
=4/3
43/12-16/6x[5/8+7/32]
=43/12-16/6x[20/32+7/32]
=43/12-16/6x27/32
=43/12-432/192
=688/192-432-192
=256/192=4/3
a)5/12 - 15/8 : 9 = 5/12 - 5/24 = 10/24 -5/24 = 5/24
b)35/13 - 2 + 6 x 7/6 = 35/13 - 2 + 7 = 100/13
\(=\frac{3.5.\left(2^2\right)^{12}.\left(3^2\right)^7-2^2.3^{15}.\left(2^3\right)^8}{19.2^{24}.3^{14}-2.3.\left(2^2\right)^{12}.\left(3^3\right)^5}\)
\(=\frac{3.5.2^{24}.3^{14}-2^2.3^{15}.2^{24}}{19.2^{24}.3^{14}-2.3.2^{24}.3^{15}}\)
\(=\frac{5.2^{24}.3^{15}-3^{15}.2^{26}}{19.2^{24}.3^{14}-2^{25}.3^{16}}\)
\(=\frac{2^{24}.3^{15}.\left(5-2^2\right)}{2^{24}.3^{14}.\left(19-3^2\right)}\)
\(=\frac{3.1}{10}\)
\(=\frac{3}{10}\)
10) 37.(27+25)-27.(37+25)=37.27+37.25-27.37-27.25
=37.25-27.25=25(37-27)=25.10=250
11)3.(-5+3)+7(2+5)=3.(-2)+7.7=-6+49=43
12)-3.(2-7)-6(8-5)=-3.(-5)-6.3=15-18=-3
\(\left(-\dfrac{7}{12}+\dfrac{5}{8}\right)-\left(-\dfrac{3}{8}+\dfrac{5}{12}\right)\)
\(=-\dfrac{7}{12}+\dfrac{5}{8}-\left(-\dfrac{3}{8}\right)-\dfrac{5}{12}\)
\(=\left(-\dfrac{7}{12}-\dfrac{5}{12}\right)+\left(\dfrac{5}{8}+\dfrac{3}{8}\right)\)
\(=-1+1=0\)
\(\left(-\dfrac{7}{12}+\dfrac{5}{8}\right)-\left(-\dfrac{3}{8}+\dfrac{5}{12}\right)\)
\(=-\dfrac{7}{12}+\dfrac{5}{8}+\dfrac{3}{8}-\dfrac{5}{12}\)
\(=\left(-\dfrac{7}{12}-\dfrac{5}{12}\right)+\left(\dfrac{5}{8}+\dfrac{3}{8}\right)\)
\(=-\dfrac{12}{12}+\dfrac{8}{8}\)
\(=-1+1\)
\(=0\)