# Ten fractions

Write ten fractions between 1/3 and 2/3

Result

a1 =  0.367
a2 =  0.383
a3 =  0.4
a4 =  0.417
a5 =  0.433
a6 =  0.45
a7 =  0.467
a8 =  0.483
a9 =  0.5
a10 =  0.517

#### Solution:

$a_{1}=110/300=\dfrac{ 11 }{ 30 } \doteq 0.3667 \doteq 0.367$
$a_{2}=115/300=\dfrac{ 23 }{ 60 } \doteq 0.3833 \doteq 0.383$
$a_{3}=120/300=\dfrac{ 2 }{ 5 }=0.4$
$a_{4}=125/300=\dfrac{ 5 }{ 12 } \doteq 0.4167 \doteq 0.417$
$a_{5}=130/300=\dfrac{ 13 }{ 30 } \doteq 0.4333 \doteq 0.433$
$a_{6}=135/300=\dfrac{ 9 }{ 20 }=0.45$
$a_{7}=140/300=\dfrac{ 7 }{ 15 } \doteq 0.4667 \doteq 0.467$
$a_{8}=145/300=\dfrac{ 29 }{ 60 } \doteq 0.4833 \doteq 0.483$
$a_{9}=150/300=\dfrac{ 1 }{ 2 }=0.5$
$a_{10}=155/300=\dfrac{ 31 }{ 60 } \doteq 0.5167 \doteq 0.517$

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