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155 . 155 -155 . 41 : 114
= 155( 155-41):114
=155.114:114
=155
(7256.4375 - 725)/(3650 + 4375.7255)
= [(7255 +1).4375 - 725]/(3650 + 4375.7255)
= [(7255.4375 + 1.4375 - 725]/(3650 + 4375.7255)
= (7255.4375 + 3650)/(3650 + 4375.7255) = 1
a) (155.155-155.41):114
= 155( 155-41):114
=155.114:114
=155
(7256.4375 - 725)/(3650 + 4375.7255)
= [(7255 +1).4375 - 725]/(3650 + 4375.7255)
= [(7255.4375 + 1.4375 - 725]/(3650 + 4375.7255)
= (7255.4375 + 3650)/(3650 + 4375.7255) = 1
\(\left(200\cdot153+400\right):\left(202\cdot155-310\right)\)
\(=\left(200\cdot153+2\cdot200\right):\left(202\cdot155-155\cdot2\right)\)
\(=\left[200\cdot\left(153+2\right)\right]:\left[155\cdot\left(202-2\right)\right]\)
\(=\left(200\cdot155\right):\left(155\cdot200\right)\)
\(=1\)
a: \(B=\dfrac{154}{155+156}+\dfrac{155}{155+156}\)
\(\dfrac{154}{155}>\dfrac{154}{155+156}\)
\(\dfrac{155}{156}>\dfrac{155}{155+156}\)
=>154/155+155/156>(154+155)/(155+156)
=>A>B
b: \(C=\dfrac{2021+2022+2023}{2022+2023+2024}=\dfrac{2021}{6069}+\dfrac{2022}{6069}+\dfrac{2023}{6069}\)
2021/2022>2021/6069
2022/2023>2022/2069
2023/2024>2023/6069
=>D>C
=155( 155-41):114
= 155. 114:114
= 155
(155.155-155.41):114
= 155(155-41):114
=155.114:114=155