# Ten fractions

Write ten fractions between 1/3 and 2/3

Correct result:

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

#### Solution:

${a}_{1}=110\mathrm{/}300=\frac{11}{30}=0.3667$
${a}_{2}=115\mathrm{/}300=\frac{23}{60}=0.3833$
${a}_{3}=120\mathrm{/}300=\frac{2}{5}=0.4$
${a}_{4}=125\mathrm{/}300=\frac{5}{12}=0.4167$
${a}_{5}=130\mathrm{/}300=\frac{13}{30}=0.4333$
${a}_{6}=135\mathrm{/}300=\frac{9}{20}=0.45$
${a}_{7}=140\mathrm{/}300=\frac{7}{15}=0.4667$
${a}_{8}=145\mathrm{/}300=\frac{29}{60}=0.4833$
${a}_{9}=150\mathrm{/}300=\frac{1}{2}=0.5$
${a}_{10}=155\mathrm{/}300=\frac{31}{60}=0.5167$

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