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 210030 into a decimal.
Write the problem in the special format:
−70.030−2100
Step 1
How many 30's are in 2? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 2−0⋅30=2−0=2.
Bring down the next digit of the dividend.
−0070.030−21↓00.0−1000.lll0.lll21.
Step 2
How many 30's are in 21? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 21−0⋅30=21−0=21.
Bring down the next digit of the dividend.
−0070.030−210↓0.0−1000.lll0.lll21.−1000.lll0.lll210.
Step 3
How many 30's are in 210? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 210−7⋅30=210−210=0.
Bring down the next digit of the dividend.
−0070.030−2100↓.0−1000.lll0.lll21.−1000.lll0.lll210.−1000.lll210.lll00.
Step 4
How many 30's are in 0? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 0−0⋅30=0−0=0.
Bring down the next digit of the dividend.
−0070.030−2100.0↓−1000.lll0.lll21.−1000.lll0.lll210.−1000.lll210.lll00.−00.0lll0.lll0.0
Step 5
How many 30's are in 0? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 0−0⋅30=0−0=0.
−0070.030−2100.0−1000.lll0.lll21.−1000.lll0.lll210.−1000.lll210.lll00.−00.0lll0.lll0.0−0.0lll.0lll0
As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 210030=70.¯0
Answer: 210030=70.¯0