
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Alice collected the first 30 state quarters released by the U.S., in order of their statehood. The graph below shows the number of states admitted into the union in each decade. What fraction of Alice's 30 coins represents states that joined the union during the decade from 1840 to 1849? Provide your answer as a common fraction.

[asy]size(200);
label("1830",(12,0),S);
label("1850",(18,0),S);
label("1870",(24,0),S);
label("1890",(30,0),S);
label("1910",(36,0),S);
label("1950",(42,0),S);
label("to",(12,-4),S);
label("to",(18,-4),S);
label("to",(24,-4),S);
label("to",(30,-4),S);
label("to",(36,-4),S);
label("to",(42,-4),S);
label("1839",(12,-8),S);
label("1859",(18,-8),S);
label("1879",(24,-8),S);
label("1889",(30,-8),S);
label("1919",(36,-8),S);
label("1959",(42,-8),S);
draw((0,0)--(50,0));
draw((0,2)--(50,2));
draw((0,4)--(50,4));
draw((0,6)--(50,6));
draw((0,8)--(50,8));
draw((0,10)--(50,10));
draw((0,12)--(50,12));
draw((0,14)--(50,14));
draw((0,16)--(50,16));
draw((0,18)--(50,18));
fill((10,0)--(14,0)--(14,3)--(10,3)--cycle,gray(0.8));
fill((16,0)--(20,0)--(20,8)--(16,8)--cycle,gray(0.8));
fill((22,0)--(26,0)--(26,7)--(22,7)--cycle,gray(0.8));
fill((28,0)--(32,0)--(32,6)--(28,6)--cycle,gray(0.8));
fill((34,0)--(38,0)--(38,5)--(34,5)--cycle,gray(0.8));
fill((40,0)--(44,0)--(44,4)--(40,4)--cycle,gray(0.8));
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
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