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\(\left(\frac{3}{8}+-\frac{3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(=\left(\frac{9}{24}+-\frac{18}{24}+\frac{14}{24}\right):\frac{5}{6}+\frac{1}{2}\)
\(=\frac{5}{24}:\frac{5}{6}+\frac{1}{2}\)
\(=\frac{5}{24}.\frac{6}{5}+\frac{1}{2}\)
\(=\frac{1}{4}+\frac{1}{2}\)
\(=\frac{1}{4}+\frac{2}{4}\)
\(=\frac{3}{4}\)
\(\frac{1}{2}+\frac{3}{4}-\left(\frac{3}{4}-\frac{4}{5}\right)\)
\(=\frac{1}{2}+\frac{3}{4}-\left(\frac{15}{20}-\frac{16}{20}\right)\)
\(=\frac{1}{2}+\frac{3}{4}-\frac{-1}{20}\)
\(=\frac{10}{20}+\frac{15}{20}-\frac{-1}{20}\)
\(=\frac{25}{20}-\frac{-1}{20}\)
\(=\frac{26}{20}\)
\(=\frac{13}{10}\)
(22+21+22+23).20.21.22.23
=(4+2+4+8).1.2.4.8
=18.1.2.4.8
=1152
1 3/8+1/8:(0,75-1/2)-25%.1/2
=11/8+1/8:(3/4-1/2)-1/4.1/2
=12/8:1/4-1/8
=6/1-1/8
=47/8
12 1/3-5/6:(24-23 5/7)
=37/3-5/6:(24-166/7)
=37/3-5/6:2/7
=37/3-35/2
=31/6
(-1/2)2-(-2)2-50
=1/4-4-1
=-19/4
\(\left(2^2+2^1+2^2+2^3\right)×2^0×2^1×2^2×2^3\)
\(=\left(4+2+4+8\right)×1×2×4×8\)
\(=18×1×2×4×8\)
\(=1152\)
\(1\frac{3}{8}+\frac{1}{8}:\left(0,75-\frac{1}{2}\right)-25\%×\frac{1}{2}\)
\(=\frac{11}{8}+\frac{1}{8}:\left(\frac{3}{4}-\frac{1}{2}\right)-\frac{1}{4}×\frac{1}{2}\)
\(=\frac{11}{8}+\frac{1}{8}:\frac{1}{4}-\frac{1}{8}\)
\(=\frac{11}{8}+\frac{1}{2}-\frac{1}{8}\)
\(=\frac{7}{4}\)
\(12\frac{1}{3}-\frac{5}{6}:\left(24-23\frac{5}{7}\right)\)
\(=\frac{37}{3}-\frac{5}{6}:\left(24-\frac{166}{7}\right)\)
\(=\frac{37}{3}-\frac{5}{6}:\frac{2}{7}\)
\(=\frac{37}{3}-\frac{35}{12}\)
\(=\frac{113}{12}\)
\(\left(\frac{-1}{2}\right)^2-\left(-2\right)^2-5^0\)
\(=\frac{1}{4}-4-1\)
\(=\frac{-19}{4}\)
\(A=\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\left(\frac{3}{8}+\frac{-6}{8}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\left(\frac{-3}{8}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\left(\frac{-36}{24}+\frac{56}{24}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\frac{5}{6}:\frac{5}{6}+\frac{1}{2}\)
\(A=\frac{5}{6}\times\frac{6}{5}+\frac{1}{2}\)
\(A=1+\frac{1}{2}\)
\(A=\frac{1}{1}+\frac{1}{2}=\frac{2}{2}+\frac{1}{2}\)
\(A=\frac{3}{2}\)
1.
a.= (-5/24+3/4+7/12): -9/4
=(-5/24+18/24+14/24) . -4/9
= 9/8 .-4/9=-1/2
b. =(3/5+83/200-3/200).8/3 .1/4
=(120/200+83/200-3/200) .2/3
=1.2/3=2/3
2.
a. 1/3(2x-5)=-2/3-3/2
1/3(2x-5)=-13/6
2x-5=-13/2
2x=-3/2
x=-3/2:2=-3/4
b. 1/3x-1/2x=3/4
x(1/3-1/2)=3/4
x.1/6=3/4
x=9/2