Калькулятор переведення дробів у десяткові дроби
Покрокове перетворення дробів у десяткові
Калькулятор перетворить заданий дріб (правильний або неправильний) або мішане число в десятковий дріб (можливо, повторюваний або періодичний), з показаними кроками.
Solution
Your input: convert 40011 into a decimal.
Write the problem in the special format:
−36.363611−400
Step 1
How many 11's are in 4? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 4−0⋅11=4−0=4.
Bring down the next digit of the dividend.
−036.363611−40↓0.0000−000.000lll0.lll40.
Step 2
How many 11's are in 40? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 40−3⋅11=40−33=7.
Bring down the next digit of the dividend.
−036.363611−400↓.0000−000.000lll0.lll40.−000.000lll33.lll70.
Step 3
How many 11's are in 70? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 70−6⋅11=70−66=4.
Bring down the next digit of the dividend.
−036.363611−400.0↓000−000.000lll0.lll40.−000.000lll33.lll70.−00.0000lll66.lll4.0
Step 4
How many 11's are in 40? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 40−3⋅11=40−33=7.
Bring down the next digit of the dividend.
−036.363611−400.00↓00−000.000lll0.lll40.−000.000lll33.lll70.−00.0000lll66.lll4.0−0.0000lll3.3lll70
Step 5
How many 11's are in 70? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 70−6⋅11=70−66=4.
Bring down the next digit of the dividend.
−036.363611−400.000↓0−000.000lll0.lll40.−000.000lll33.lll70.−00.0000lll66.lll4.0−0.0000lll3.3lll70−0000lll66lll40
Step 6
How many 11's are in 40? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 40−3⋅11=40−33=7.
Bring down the next digit of the dividend.
−036.363611−400.0000↓−000.000lll0.lll40.−000.000lll33.lll70.−00.0000lll66.lll4.0−0.0000lll3.3lll70−0000lll66lll40−000lll33lll70
Step 7
How many 11's are in 70? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 70−6⋅11=70−66=4.
−036.363611−400.0000−000.000lll0.lll40.−000.000lll33.lll70.−00.0000lll66.lll4.0−0.0000lll3.3lll70−0000lll66lll40−000lll33lll70−00lll66lll4
As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 40011=36.¯36
Answer: 40011=36.¯36