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.

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Solution

Your input: convert 270044 into a decimal.

Write the problem in the special format:

61.363636442700

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, 2044=20=2.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.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, 27044=270=27.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.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, 270644=270264=6.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.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, 60144=6044=16.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.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, 160344=160132=28.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.lll27.7000.00000lll0.lll270.7000.00000lll264.lll60.00.000000lll44.lll16.000.000000lll13.2lll2.80

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, 280644=280264=16.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.lll27.7000.00000lll0.lll270.7000.00000lll264.lll60.00.000000lll44.lll16.000.000000lll13.2lll2.800.000000lll2.64lll160

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, 160344=160132=28.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.lll27.7000.00000lll0.lll270.7000.00000lll264.lll60.00.000000lll44.lll16.000.000000lll13.2lll2.800.000000lll2.64lll160000000lll132lll280

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, 280644=280264=16.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.lll27.7000.00000lll0.lll270.7000.00000lll264.lll60.00.000000lll44.lll16.000.000000lll13.2lll2.800.000000lll2.64lll160000000lll132lll28000000lll264lll160

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, 160344=160132=28.

Bring down the next digit of the dividend.

0061.363636442700.0000007000.00000lll0.lll27.7000.00000lll0.lll270.7000.00000lll264.lll60.00.000000lll44.lll16.000.000000lll13.2lll2.800.000000lll2.64lll160000000lll132lll28000000lll264lll1600000lll132lll280

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, 280644=280264=16.

0061.363636442700.0000007000.00000lll0.lll27.7000.00000lll0.lll270.7000.00000lll264.lll60.00.000000lll44.lll16.000.000000lll13.2lll2.800.000000lll2.64lll160000000lll132lll28000000lll264lll1600000lll132lll280000lll264lll16

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