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 11002 into a decimal.
Write the problem in the special format:
−550.02−1100
Step 1
How many 2's are in 1? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 1−0⋅2=1−0=1.
Bring down the next digit of the dividend.
−0550.02−11↓00.0−1000.lll0.lll11.
Step 2
How many 2's are in 11? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 11−5⋅2=11−10=1.
Bring down the next digit of the dividend.
−0550.02−110↓0.0−1000.lll0.lll11.−1000.lll10.lll10.
Step 3
How many 2's are in 10? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 10−5⋅2=10−10=0.
Bring down the next digit of the dividend.
−0550.02−1100↓.0−1000.lll0.lll11.−1000.lll10.lll10.−100.0lll10.lll00.
Step 4
How many 2's are in 0? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 0−0⋅2=0−0=0.
Bring down the next digit of the dividend.
−0550.02−1100.0↓−1000.lll0.lll11.−1000.lll10.lll10.−100.0lll10.lll00.−00.0lll0.lll0.0
Step 5
How many 2's are in 0? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 0−0⋅2=0−0=0.
−0550.02−1100.0−1000.lll0.lll11.−1000.lll10.lll10.−100.0lll10.lll00.−00.0lll0.lll0.0−0.0lll.0lll0
Since the remainder is 0, then we are done.
Therefore, 11002=550.0
Answer: 11002=550.0