Ten fractions

Write ten fractions between 1/3 and 2/3

Correct answer:

a₁ =  0.3667
a₂ =  0.3833
a₃ =  0.4
a₄ =  0.4167
a₅ =  0.4333
a₆ =  0.45
a₇ =  0.4667
a₈ =  0.4833
a₉ =  0.5
a₁₀ =  0.5167

Step-by-step explanation:

$a_1=110\mathrm{/}300={\displaystyle \frac{11}{30}}=0.3667$

$a_2=115\mathrm{/}300={\displaystyle \frac{23}{60}}=0.3833$

$a_3=120\mathrm{/}300={\displaystyle \frac{2}{5}}=0.4$

$a_4=125\mathrm{/}300={\displaystyle \frac{5}{12}}=0.4167$

$a_5=130\mathrm{/}300={\displaystyle \frac{13}{30}}=0.4333$

$a_6=135\mathrm{/}300={\displaystyle \frac{9}{20}}=0.45$

$a_7=140\mathrm{/}300={\displaystyle \frac{7}{15}}=0.4667$

$a_8=145\mathrm{/}300={\displaystyle \frac{29}{60}}=0.4833$

$a_9=150\mathrm{/}300={\displaystyle \frac{1}{2}}=0.5$

$a_{10}=155\mathrm{/}300={\displaystyle \frac{31}{60}}=0.5167$

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