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\(\frac{1}{2}\)x \(\frac{9}{10}\)+ \(\frac{8}{10}\)+ \(\frac{2}{4}\)+ \(\frac{3}{10}\)x \(0,5\)
= \(0,5\)x \(0,9\)+ \(0,8\)+ \(0,5\)x \(0,5\)
\(=0,45\)x \(1,3\)x \(0,5\)
\(=0,45\)x \(0,65=0,2925\)
\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x\left(1-\frac{1}{6}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}\)
\(=\frac{1.2.3.4.5}{2.3.4.5.6}=\frac{1}{6}\)
a, 1,25 x10,8 x 0,8 : 0,9
= (1,25 x 0,8) x (10,8 : 0,9)
= 1 x 12
= 12
b, 0,64 x 0,04 x25:0,8 + 0,5 x 0,112
= (0,64 : 0,8) x (0,04 x 25) + 0,5 x 0,112
= 0,8 x 1 + 0,056
= 0,8 + 0,056
= 0,856
a)\(\frac{8}{13}+\frac{4}{9}+\frac{1}{3}+\frac{5}{13}+3\)
\(=\left(\frac{8}{13}+\frac{5}{13}\right)+\left(\frac{4}{9}+\frac{1}{3}\right)+3\)
\(=1+\left(\frac{4}{9}+\frac{3}{9}\right)+3\)
\(=1+\frac{7}{9}+3\)
\(=1+3+\frac{7}{9}\)
\(=4\frac{7}{9}\)
\(=\frac{43}{9}\)
b)\(\frac{8}{5}\cdot\frac{4}{7}+\frac{4}{7}\cdot\frac{2}{5}-1\)
\(=\frac{4}{7}\cdot\left(\frac{8}{5}+\frac{2}{5}\right)-1\)
\(=\frac{4}{7}\cdot2-1\)
\(=\frac{8}{7}-1\)
\(=\frac{1}{7}\)
a) \(\frac{8}{13}+\frac{4}{9}+\frac{1}{3}+\frac{5}{13}+3\)
\(=\left(\frac{8}{13}+\frac{5}{13}\right)+\left(\frac{4}{9}+\frac{3}{9}\right)+3\)
\(=1+\frac{7}{9}+3=4\frac{7}{9}\)
b)\(\frac{8}{5}.\frac{4}{7}+\frac{4}{7}.\frac{2}{5}-1\)
\(=\frac{4}{7}.\left(\frac{8}{5}+\frac{2}{5}\right)-1\)
\(=\frac{4}{7}.2-1\)
\(=\frac{8}{7}-\frac{7}{7}=\frac{1}{7}\)
a) 234 x 95 + 234 x 4 + 234 = 234 x ( 95 + 4 + 1 ) = 234 x 100 = 23400
a).234 x 95 + 234 x 4 + 234
= 234 x ( 95 + 4 + 1 )
= 234 x 100
= 23400
b) ( 1+1/2) x ( 1+1/3) x ( 1+1/4 )
= ( 2/2+1/2 ) x ( 3/3+1/3 ) x ( 4/4 + 1/4)
=3/2 + 4/3 + 5/4
= 18/12 + 16/12 + 20/12
= 54/12
= 9 /2
`a,`
`34,67+5,42+4,58`
`= 34,67+(5,42+4,58)=34,67+10=44,67`
`b,`
`15,27 \times 2 \times 0,5`
`= 15,27 \times (2 \times 0,5)`
`= 15,27 \times 1=15,27`
`c,`
`45,28 \times 45 + 45,28 \times 55`
`= 45,28 \times (45+55)`
`= 45,28 \times 100=4528`
a.
34,67 + 5,42 + 4,58
= (34,67 + 5,42) + 4,58= 40,09 + 4,58 = 44,67
b. 15,27 x 2 x 0.5
= (15,27 x 2) x 0.5 = 30,54 x 0,5 = 15,27
c. 45,28 x45 + 45,28 x 55
= 45,28 x (45 + 55)
= 45,28 x 100 = 4528