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Fraction to Decimal Conversion |
(Math | General | Fraction to Decimal Conversion) |
Fraction to Decimal Conversion Tables
Important Note:Retrobatch 1 3 12 X 2
any span of numbers that is underlined signifies that those numbers are repeated. For example, 0.09 signifies 0.090909..Only fractions in lowest terms are listed.Retrobatch 1 3 12 Equals
fraction = decimal | |||
1/1 = 1 | |||
1/2 = 0.5 | |||
1/3 = 0.3 | 2/3 = 0.6 | ||
1/4 = 0.25 | 3/4 = 0.75 | ||
1/5 = 0.2 | 2/5 = 0.4 | 3/5 = 0.6 | 4/5 = 0.8 |
1/6 = 0.16 | 5/6 = 0.83 | ||
1/7 = 0.142857 | 2/7 = 0.285714 | 3/7 = 0.428571 | 4/7 = 0.571428 |
5/7 = 0.714285 | 6/7 = 0.857142 | ||
1/8 = 0.125 | 3/8 = 0.375 | 5/8 = 0.625 | 7/8 = 0.875 |
1/9 = 0.1 | 2/9 = 0.2 | 4/9 = 0.4 | 5/9 = 0.5 |
7/9 = 0.7 | 8/9 = 0.8 | ||
1/10 = 0.1 | 3/10 = 0.3 | 7/10 = 0.7 | 9/10 = 0.9 |
1/11 = 0.09 | 2/11 = 0.18 | 3/11 = 0.27 | 4/11 = 0.36 |
5/11 = 0.45 | 6/11 = 0.54 | 7/11 = 0.63 | |
8/11 = 0.72 | 9/11 = 0.81 | 10/11 = 0.90 | |
1/12 = 0.083 | 5/12 = 0.416 | 7/12 = 0.583 | 11/12 = 0.916 |
1/16 = 0.0625 | 3/16 = 0.1875 | 5/16 = 0.3125 | 7/16 = 0.4375 |
11/16 = 0.6875 | 13/16 = 0.8125 | 15/16 = 0.9375 | |
1/32 = 0.03125 | 3/32 = 0.09375 | 5/32 = 0.15625 | 7/32 = 0.21875 |
9/32 = 0.28125 | 11/32 = 0.34375 | 13/32 = 0.40625 | |
15/32 = 0.46875 | 17/32 = 0.53125 | 19/32 = 0.59375 | |
21/32 = 0.65625 | 23/32 = 0.71875 | 25/32 = 0.78125 | |
27/32 = 0.84375 | 29/32 = 0.90625 | 31/32 = 0.96875 |
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
0.00298 Pixave 2 0 0 download free. 298298.. = 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..
Example: 2x-1=y,2y+3=x
What can QuickMath do?
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
- The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
- The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
- The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
- The calculus section will carry out differentiation as well as definite and indefinite integration.
- The matrices section contains commands for the arithmetic manipulation of matrices.
- The graphs section contains commands for plotting equations and inequalities.
- The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.