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a) \(15\times\frac{2121}{4343}+15\times\frac{222222}{434343}=15\times\frac{21}{43}+15\times\frac{22}{43}=15\times\left(\frac{21}{43}+\frac{22}{43}\right)=15\times1=15\)
b) \(\frac{16\times25+44\times100}{29\times96+142\times48}=\frac{25\times\left(16+44\times4\right)}{48\times\left(29\times2+142\right)}=\frac{25\times192}{48\times200}=\frac{4}{8}=\frac{1}{2}\)
15×2121/4343+15×222222/434343
= 15 x (21x101)/(101x43) + 15x(22x 10101)/(43x10101)
= 15 x 21/43 + 15 x 22/43
= 15x(21/43 + 22/43)
= 15x1 = 15
`a)2018xx(1/2+1212/2424)`
`=2018xx(1/2+1/2)`
`=2018xx2/2=2018`
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`b)15xx2121/4343+15xx222222/434343`
`=15xx(2121/4343+222222/434343)`
`=15xx(21/43+22/43)`
`=15xx43/43=15`
\(15x\frac{2121}{4343}+15x\frac{222222}{434343}\)
\(=15x\frac{21}{43}+15x\frac{22}{43}\)
\(=15x\left(\frac{21}{43}+\frac{22}{43}\right)\)
\(=15x1\)
\(=15\)
= 15 x 21/43 + 15x 22/43
= 15 x (21/43 + 22/43)
= 15 x 1 =15
b. 16×25+44×100/ 29×96+142×48
=400+4×11×100/29×96+71×2×48
=400+400×11/29×96+71×96
=400×(1+11)/96×(29+71)
=400×12/96×100=1/2