Fractional / Decimal Conversion Chart

 

 

 

 

Fractional

Inches

Metric

1/64

.0156

0.396

1/32

.0312

.0.793

3/64

.0468

1.190

1/16

.0625

1.587

5/64

.0781

1.984

3/32

.0937

2.381

7/64

.1093

2.778

1/8

.125

3.175

9/64

.1406

3.571

5/32

.1562

3.968

11/64

.1718

4.365

3/16

.1875

4.762

13/64

.2031

5.159

7/32

.2187

5.556

15/64

.2343

5.953

1/4

.250

6.350

17/64

.2656

6.746

9/32

.2812

7.143

19/64

.2968

7.540

5/16

.3125

7.937

21/64

.3281

8.334

11/32

.3437

8.731

23/64

.3593

9.128

3/8

.375

9.525

25/64

.3906

9.921

13/32

.4062

10.318

27/64

.4218

10.715

7/16

.4375

11.112

29/64

.4531

11.509

15/32

.4687

11.906

31/64

.4843

12.303

1/2

.500

12.700

33/64

.5156

13.096

17/32

.5312

13.493

35/64

.5468

13.890

9/16

.5625

14.287

37/64

.5781

14.684

19/32

.5937

15.081

39/64

.6093

15.478

5/8

.625

15.875

41/64

.6406

16.271

21/32

.6562

16.668

43/64

.6718

17.065

11/16

.6875

17.462

45/64

.7031

17.859

23/32

.7187

18.256

47/64

.7343

18.653

3/4

.750

19.050

49/64

.7656

19.446

25/32

.7812

19.843

51/64

.7968

20.240

13/16

.8125

20.637

53/64

.8281

21.034

27/32

.8437

21.431

55/64

.8593

21.828

7/8

.875

22.225

57/64

.8906

22.621

29/32

.9062

23.018

59/64

.9218

23.415

15/16

.9375

23.812

61/64

.9531

24.209

31/32

.9687

24.606

63/64

.9843

25.003

1

1.000

25.400

 

 

 

 

Need to convert a repeating decimal to a fraction?

 

Follow these examples:


Note the following pattern for repeating decimals:
0.22222222... = 2/9
0.54545454... = 54/99
0.298298298... = 298/999
Division by 9's causes the repeating pattern.

 

Note the pattern if zeros precede the repeating decimal:
0.022222222... = 2/90
0.00054545454... = 54/99000
0.00298298298... = 298/99900
Adding zero's to the denominator adds zero's before the repeating decimal.

 

To convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.
  0.21 + 0.00456456456456456...


Next, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is converted according to the pattern given above.
  21/100 + 456/99900


Now add these fraction by expressing both with a common divisor
  20979/99900 + 456/99900


and add.
  21435/99900


Finally simplify it to lowest terms
  1429/6660


and check on your calculator or with long division.
= 0.2145645645...
 

 

 

 

 

 

 

 

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