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 320055 into a decimal.
Write the problem in the special format:
−58.1818155−3200
Step 1
How many 55's are in 3? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 3−0⋅55=3−0=3.
Bring down the next digit of the dividend.
−0058.1818155−32↓00.00000−2000.0000lll0.lll32.
Step 2
How many 55's are in 32? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 32−0⋅55=32−0=32.
Bring down the next digit of the dividend.
−0058.1818155−320↓0.00000−2000.0000lll0.lll32.−2000.0000lll0.lll320.
Step 3
How many 55's are in 320? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 320−5⋅55=320−275=45.
Bring down the next digit of the dividend.
−0058.1818155−3200↓.00000−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.
Step 4
How many 55's are in 450? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 450−8⋅55=450−440=10.
Bring down the next digit of the dividend.
−0058.1818155−3200.0↓0000−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.−200.00000lll440.lll10.0
Step 5
How many 55's are in 100? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 100−1⋅55=100−55=45.
Bring down the next digit of the dividend.
−0058.1818155−3200.00↓000−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.−200.00000lll440.lll10.0−00.00000lll.55lll4.50
Step 6
How many 55's are in 450? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 450−8⋅55=450−440=10.
Bring down the next digit of the dividend.
−0058.1818155−3200.000↓00−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.−200.00000lll440.lll10.0−00.00000lll.55lll4.50−0.00000lll4.40lll100
Step 7
How many 55's are in 100? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 100−1⋅55=100−55=45.
Bring down the next digit of the dividend.
−0058.1818155−3200.0000↓0−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.−200.00000lll440.lll10.0−00.00000lll.55lll4.50−0.00000lll4.40lll100−00000lll55lll450
Step 8
How many 55's are in 450? The answer is 8.
Write down the calculated result in the upper part of the table.
Now, 450−8⋅55=450−440=10.
Bring down the next digit of the dividend.
−0058.1818155−3200.00000↓−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.−200.00000lll440.lll10.0−00.00000lll.55lll4.50−0.00000lll4.40lll100−00000lll55lll450−0000lll440lll100
Step 9
How many 55's are in 100? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 100−1⋅55=100−55=45.
−0058.1818155−3200.00000−2000.0000lll0.lll32.−2000.0000lll0.lll320.−2000.0000lll275.lll450.−200.00000lll440.lll10.0−00.00000lll.55lll4.50−0.00000lll4.40lll100−00000lll55lll450−0000lll440lll100−000lll55lll45
As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 320055=58.1¯81
Answer: 320055=58.1¯81