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 270044 into a decimal.
Write the problem in the special format:
−61.36363644−2700
Step 1
How many 44's are in 2? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 2−0⋅44=2−0=2.
Bring down the next digit of the dividend.
−0061.36363644−27↓00.000000−7000.00000lll0.lll27.
Step 2
How many 44's are in 27? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 27−0⋅44=27−0=27.
Bring down the next digit of the dividend.
−0061.36363644−270↓0.000000−7000.00000lll0.lll27.−7000.00000lll0.lll270.
Step 3
How many 44's are in 270? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 270−6⋅44=270−264=6.
Bring down the next digit of the dividend.
−0061.36363644−2700↓.000000−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.
Step 4
How many 44's are in 60? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 60−1⋅44=60−44=16.
Bring down the next digit of the dividend.
−0061.36363644−2700.0↓00000−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0
Step 5
How many 44's are in 160? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 160−3⋅44=160−132=28.
Bring down the next digit of the dividend.
−0061.36363644−2700.00↓0000−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0−00.000000lll13.2lll2.80
Step 6
How many 44's are in 280? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 280−6⋅44=280−264=16.
Bring down the next digit of the dividend.
−0061.36363644−2700.000↓000−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0−00.000000lll13.2lll2.80−0.000000lll2.64lll160
Step 7
How many 44's are in 160? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 160−3⋅44=160−132=28.
Bring down the next digit of the dividend.
−0061.36363644−2700.0000↓00−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0−00.000000lll13.2lll2.80−0.000000lll2.64lll160−000000lll132lll280
Step 8
How many 44's are in 280? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 280−6⋅44=280−264=16.
Bring down the next digit of the dividend.
−0061.36363644−2700.00000↓0−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0−00.000000lll13.2lll2.80−0.000000lll2.64lll160−000000lll132lll280−00000lll264lll160
Step 9
How many 44's are in 160? The answer is 3.
Write down the calculated result in the upper part of the table.
Now, 160−3⋅44=160−132=28.
Bring down the next digit of the dividend.
−0061.36363644−2700.000000↓−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0−00.000000lll13.2lll2.80−0.000000lll2.64lll160−000000lll132lll280−00000lll264lll160−0000lll132lll280
Step 10
How many 44's are in 280? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 280−6⋅44=280−264=16.
−0061.36363644−2700.000000−7000.00000lll0.lll27.−7000.00000lll0.lll270.−7000.00000lll264.lll60.−00.000000lll44.lll16.0−00.000000lll13.2lll2.80−0.000000lll2.64lll160−000000lll132lll280−00000lll264lll160−0000lll132lll280−000lll264lll16
As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 270044=61.36¯36
Answer: 270044=61.36¯36