Fraction to Decimal Calculator
Convert fractions to decimals step by step
The calculator will convert the given fraction (proper or improper) or mixed number into a decimal (possibly, repeating or recurring), with steps shown.
Solution
Your input: convert 200027 into a decimal.
Write the problem in the special format:
−74.07407427−2000
Step 1
How many 27's are in 2? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 2−0⋅27=2−0=2.
Bring down the next digit of the dividend.
−0074.07407427−20↓00.000000−0000.00000lll0.lll20.
Step 2
How many 27's are in 20? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 20−0⋅27=20−0=20.
Bring down the next digit of the dividend.
−0074.07407427−200↓0.000000−0000.00000lll0.lll20.−0000.00000lll0.lll200.
Step 3
How many 27's are in 200? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 200−7⋅27=200−189=11.
Bring down the next digit of the dividend.
−0074.07407427−2000↓.000000−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.
Step 4
How many 27's are in 110? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 110−4⋅27=110−108=2.
Bring down the next digit of the dividend.
−0074.07407427−2000.0↓00000−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0
Step 5
How many 27's are in 20? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 20−0⋅27=20−0=20.
Bring down the next digit of the dividend.
−0074.07407427−2000.00↓0000−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0−0.000000lll.0lll2.00
Step 6
How many 27's are in 200? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 200−7⋅27=200−189=11.
Bring down the next digit of the dividend.
−0074.07407427−2000.000↓000−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0−0.000000lll.0lll2.00−0.000000lll1.89lll110
Step 7
How many 27's are in 110? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 110−4⋅27=110−108=2.
Bring down the next digit of the dividend.
−0074.07407427−2000.0000↓00−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0−0.000000lll.0lll2.00−0.000000lll1.89lll110−000000lll108lll20
Step 8
How many 27's are in 20? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 20−0⋅27=20−0=20.
Bring down the next digit of the dividend.
−0074.07407427−2000.00000↓0−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0−0.000000lll.0lll2.00−0.000000lll1.89lll110−000000lll108lll20−0000lll0lll200
Step 9
How many 27's are in 200? The answer is 7.
Write down the calculated result in the upper part of the table.
Now, 200−7⋅27=200−189=11.
Bring down the next digit of the dividend.
−0074.07407427−2000.000000↓−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0−0.000000lll.0lll2.00−0.000000lll1.89lll110−000000lll108lll20−0000lll0lll200−0000lll189lll110
Step 10
How many 27's are in 110? The answer is 4.
Write down the calculated result in the upper part of the table.
Now, 110−4⋅27=110−108=2.
−0074.07407427−2000.000000−0000.00000lll0.lll20.−0000.00000lll0.lll200.−0000.00000lll189.lll110.−000.000000lll108.lll2.0−0.000000lll.0lll2.00−0.000000lll1.89lll110−000000lll108lll20−0000lll0lll200−0000lll189lll110−000lll108lll2
As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 200027=74.¯074
Answer: 200027=74.¯074