Fractional Decimal Equivalents

Reference data and engineering information about fractional decimal equivalents for mathematics applications.

fractionaldecimalequivalents

Overview

Engineering reference data for Fractional Decimal Equivalents in mathematics.

Key Formulas

Quadratic Formula

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Roots of ax² + bx + c = 0.

Pythagorean Theorem

$c^2 = a^2 + b^2$

Right triangle relationship.

Circle Area

$A = \pi r^2$

Area of a circle.

Logarithm

$\log_b(x) = \frac{\ln(x)}{\ln(b)}$

Change of base formula.

Variables

Symbol	Description	Unit
$\pi$	Pi	3.14159...
$e$	Euler's number	2.71828...

64 rows

Common fractional inch to decimal inch equivalents.
64ths	32nds	16ths	8ths	4ths	half	whole	decimal (in)(in)
1/64							0.0156
2/64	1/32						0.0313
3/64							0.0469
4/64	2/32	1/16					0.0625
5/64							0.0781
6/64	3/32						0.0938
7/64							0.1094
8/64	4/32	2/16	1/8				0.125
9/64							0.1406
10/64	5/32						0.1563
11/64							0.1719
12/64	6/32	3/16					0.1875
13/64							0.2031
14/64	7/32						0.2188
15/64							0.2344
16/64	8/32	4/16	2/8	1/4			0.25
17/64							0.2656
18/64	9/32						0.2813
19/64							0.2969
20/64	10/32	5/16					0.3125
21/64							0.3281
22/64	11/32						0.3438
23/64							0.3594
24/64	12/32	6/16	3/8				0.375
25/64							0.3906
26/64	13/32						0.4063
27/64							0.4219
28/64	14/32	7/16					0.4375
29/64							0.4531
30/64	15/32						0.4688
31/64							0.4844
32/64	16/32	8/16	4/8	2/4	1/2		0.5
33/64							0.5156
34/64	17/32						0.5313
35/64							0.5469
36/64	18/32	9/16					0.5625
37/64							0.5781
38/64	19/32						0.5938
39/64							0.6094
40/64	20/32	10/16	5/8				0.625
41/64							0.6406
42/64	21/32						0.6563
43/64							0.6719
44/64	22/32	11/16					0.6875
45/64							0.7031
46/64	23/32						0.7188
47/64							0.7344
48/64	24/32	12/16	6/8	3/4			0.75
49/64							0.7656
50/64	25/32						0.7813
51/64							0.7969
52/64	26/32	13/16					0.8125
53/64							0.8281
54/64	27/32						0.8438
55/64							0.8594
56/64	28/32	14/16	7/8				0.875
57/64							0.8906
58/64	29/32						0.9063
59/64							0.9219
60/64	30/32	15/16					0.9375
61/64							0.9531
62/64	31/32						0.9688
63/64							0.9844
64/64	32/32	16/16	8/8	4/4	2/2	1/1	1

Source: engineeringtoolbox.com

Fraction Structure and Conversion

A fraction consists of two basic parts:

Denominator: The bottom number, representing the total number of equal parts.
Numerator: The top number, representing how many parts are being considered.

Conversion Method

To convert a fraction to a decimal, divide the numerator by the denominator.

Example: Convert $\frac{1}{8}$ to a decimal. $\frac{1}{8} = 1 \div 8 = 0.125$

References

Original Source

Source: engineeringtoolbox.com