The fraction 2 1/6 is equal to 3.5 when converted to a decimal. See below detalis on how to convert the fraction 2 1/6 to a decimal value.
2.6: Binary To Decimal Write a program that reads a 4-bit binary number from the keyboard as a string and then converts it into decimal. For example, if the input is 1100, the output should be 12. (Hint: Break the string into substrings and then convert each substring to a value for a single bit. Quick-start Tutorial¶ The usual start to using decimals is importing the module, viewing the current.
- The hyphen is an important indicator when reading and writing decimals. When writing a phrase as a decimal, some of the words indicate the place-value positions, and other words indicate the digits to be used. In Exercises 1 and 2, click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message.
- What is 2/6 as a decimal you ask? Converting the fraction 2/6 into a decimal is very easy. To get 2/6 converted to decimal, you simply divide 2 by 6. You don't need to get the calculator out, because we did this for you. 2/6 as a decimal is: 0.333333333 Note: When Research Maniacs calculated 2/6 as a decimal, we rounded the answers.
How to convert from fraction to decimal?
To easily convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).Example 1: How to convert 4/8 to a decimal?
- Step 1:
Divide 4 by 8: 4 ÷ 8 = 1 ÷ 2 = 0.5
- Step 2:
Multiply the result by 100 and add the decimal sign: 0.5 × 100%
- Answer: 4/8 = 50%
Example 2: How to convert 1 1/3 to a decimal?
- Step 1:
Divide 1 by 3: 1 ÷ 3 = 0.3333
- Step 2:
Add this value to the the integer part: 1 + 0.3333 = 1.3333
- Step 3:
Multiply the result by 100 and add the decimal sign: 1.3333 × 100%
- Answer: 1 1/3 = 133.33%
Note: the result was rounded to 2 decimal places.
Fractions of inches to decimal inches and millimeters (mm)
fraction | inches | mm |
---|---|---|
1/64 | 0.0156 | 0.3969 |
1/32 | 0.0313 | 0.7938 |
3/64 | 0.0469 | 1.1906 |
1/16 | 0.0625 | 1.5875 |
5/64 | 0.0781 | 1.9844 |
3/32 | 0.0938 | 2.3813 |
7/64 | 0.1094 | 2.7781 |
1/8 | 0.1250 | 3.1750 |
9/64 | 0.1406 | 3.5719 |
5/32 | 0.1563 | 3.9688 |
11/64 | 0.1719 | 4.3656 |
3/16 | 0.1875 | 4.7625 |
13/64 | 0.2031 | 5.1594 |
7/32 | 0.2188 | 5.5563 |
15/64 | 0.2344 | 5.9531 |
1/4 | 0.2500 | 6.3500 |
fraction | inches | mm |
---|---|---|
17/64 | 0.2656 | 6.7469 |
9/32 | 0.2813 | 7.1438 |
19/64 | 0.2969 | 7.5406 |
5/16 | 0.3125 | 7.9375 |
21/64 | 0.3281 | 8.3344 |
11/32 | 0.3438 | 8.7313 |
23/64 | 0.3594 | 9.1281 |
3/8 | 0.3750 | 9.5250 |
25/64 | 0.3906 | 9.9219 |
13/32 | 0.4063 | 10.3188 |
27/64 | 0.4219 | 10.7156 |
7/16 | 0.4375 | 11.1125 |
29/64 | 0.4531 | 11.5094 |
15/32 | 0.4688 | 11.9063 |
31/64 | 0.4844 | 12.3031 |
1/2 | 0.5000 | 12.7000 |
fraction | inches | mm |
---|---|---|
33/64 | 0.5156 | 13.0969 |
17/32 | 0.5313 | 13.4938 |
35/64 | 0.5469 | 13.8906 |
9/16 | 0.5625 | 14.2875 |
37/64 | 0.5781 | 14.6844 |
19/32 | 0.5938 | 15.0813 |
39/64 | 0.6094 | 15.4781 |
5/8 | 0.6250 | 15.8750 |
41/64 | 0.6406 | 16.2719 |
21/32 | 0.6563 | 16.6688 |
43/64 | 0.6719 | 17.0656 |
11/16 | 0.6875 | 17.4625 |
45/64 | 0.7031 | 17.8594 |
23/32 | 0.7188 | 18.2563 |
47/64 | 0.7344 | 18.6531 |
3/4 | 0.7500 | 19.0500 |
fraction | inches | mm |
---|---|---|
49/64 | 0.7656 | 19.4469 |
25/32 | 0.7813 | 19.8438 |
51/64 | 0.7969 | 20.2406 |
13/16 | 0.8125 | 20.6375 |
53/64 | 0.8281 | 21.0344 |
27/32 | 0.8438 | 21.4313 |
55/64 | 0.8594 | 21.8281 |
7/8 | 0.8750 | 22.2250 |
57/64 | 0.8906 | 22.6219 |
29/32 | 0.9063 | 23.0188 |
59/64 | 0.9219 | 23.4156 |
15/16 | 0.9375 | 23.8125 |
61/64 | 0.9531 | 24.2094 |
31/32 | 0.9688 | 24.6063 |
63/64 | 0.9844 | 25.0031 |
1 | 1.0000 | 25.4000 |
See also:
And also:
Examples of Fraction to Decimal Conversions
Problem: What is 35 percent of one dollar?
We know from the previous lesson that .35 = 35%. The word 'of' means multiply. So we get the following:
35% x $1.00 = .35 x $1.00
since $1.00 = 1, we get .35 x $1.00 = .35 x 1 = .35
- Step 1:
Divide 1 by 3: 1 ÷ 3 = 0.3333
- Step 2:
Add this value to the the integer part: 1 + 0.3333 = 1.3333
- Step 3:
Multiply the result by 100 and add the decimal sign: 1.3333 × 100%
- Answer: 1 1/3 = 133.33%
Note: the result was rounded to 2 decimal places.
Fractions of inches to decimal inches and millimeters (mm)
fraction | inches | mm |
---|---|---|
1/64 | 0.0156 | 0.3969 |
1/32 | 0.0313 | 0.7938 |
3/64 | 0.0469 | 1.1906 |
1/16 | 0.0625 | 1.5875 |
5/64 | 0.0781 | 1.9844 |
3/32 | 0.0938 | 2.3813 |
7/64 | 0.1094 | 2.7781 |
1/8 | 0.1250 | 3.1750 |
9/64 | 0.1406 | 3.5719 |
5/32 | 0.1563 | 3.9688 |
11/64 | 0.1719 | 4.3656 |
3/16 | 0.1875 | 4.7625 |
13/64 | 0.2031 | 5.1594 |
7/32 | 0.2188 | 5.5563 |
15/64 | 0.2344 | 5.9531 |
1/4 | 0.2500 | 6.3500 |
fraction | inches | mm |
---|---|---|
17/64 | 0.2656 | 6.7469 |
9/32 | 0.2813 | 7.1438 |
19/64 | 0.2969 | 7.5406 |
5/16 | 0.3125 | 7.9375 |
21/64 | 0.3281 | 8.3344 |
11/32 | 0.3438 | 8.7313 |
23/64 | 0.3594 | 9.1281 |
3/8 | 0.3750 | 9.5250 |
25/64 | 0.3906 | 9.9219 |
13/32 | 0.4063 | 10.3188 |
27/64 | 0.4219 | 10.7156 |
7/16 | 0.4375 | 11.1125 |
29/64 | 0.4531 | 11.5094 |
15/32 | 0.4688 | 11.9063 |
31/64 | 0.4844 | 12.3031 |
1/2 | 0.5000 | 12.7000 |
fraction | inches | mm |
---|---|---|
33/64 | 0.5156 | 13.0969 |
17/32 | 0.5313 | 13.4938 |
35/64 | 0.5469 | 13.8906 |
9/16 | 0.5625 | 14.2875 |
37/64 | 0.5781 | 14.6844 |
19/32 | 0.5938 | 15.0813 |
39/64 | 0.6094 | 15.4781 |
5/8 | 0.6250 | 15.8750 |
41/64 | 0.6406 | 16.2719 |
21/32 | 0.6563 | 16.6688 |
43/64 | 0.6719 | 17.0656 |
11/16 | 0.6875 | 17.4625 |
45/64 | 0.7031 | 17.8594 |
23/32 | 0.7188 | 18.2563 |
47/64 | 0.7344 | 18.6531 |
3/4 | 0.7500 | 19.0500 |
fraction | inches | mm |
---|---|---|
49/64 | 0.7656 | 19.4469 |
25/32 | 0.7813 | 19.8438 |
51/64 | 0.7969 | 20.2406 |
13/16 | 0.8125 | 20.6375 |
53/64 | 0.8281 | 21.0344 |
27/32 | 0.8438 | 21.4313 |
55/64 | 0.8594 | 21.8281 |
7/8 | 0.8750 | 22.2250 |
57/64 | 0.8906 | 22.6219 |
29/32 | 0.9063 | 23.0188 |
59/64 | 0.9219 | 23.4156 |
15/16 | 0.9375 | 23.8125 |
61/64 | 0.9531 | 24.2094 |
31/32 | 0.9688 | 24.6063 |
63/64 | 0.9844 | 25.0031 |
1 | 1.0000 | 25.4000 |
See also:
And also:
Examples of Fraction to Decimal Conversions
Problem: What is 35 percent of one dollar?
We know from the previous lesson that .35 = 35%. The word 'of' means multiply. So we get the following:
35% x $1.00 = .35 x $1.00
since $1.00 = 1, we get .35 x $1.00 = .35 x 1 = .35
35% of $1.00 is $.35
Solution: 35% of one dollar is $.35, or 35 cents.
The solution to the above problem is not surprising, since percents, dollars and cents are all based on the number 100. To convert a percent to a decimal, first remove the percent symbol, then move the decimal point two places to the left. Look at the Example 1 below.
Example 1: Write each percent as a decimal: 18%, 7%, 82%, 55%
Solution | |
Percent | Decimal |
18% | .18 |
07% | .07 |
82% | .82 |
55% | .55 |
Write 5% As A Decimal
In Example 1, it was easy to convert each percent to a decimal since each percent had two digits. (The exception to this was 7% for which we needed to add in a zero in order to make the conversion.) Thus, we need a procedure to follow for consistency.
To write a percent as a decimal, follow these steps:
- Remove the percent symbol.
- Move the decimal point two places to the left, adding in zeros as needed.
Why do we move the decimal point 2 places to the left?
Remember that percent means parts per hundred, so 18% =
From your knowledge of decimal place value, you know that = 0.18 (eighteen hundredths).
Thus, 18% must also equal 0.18.
Let's take another look at Example 1, this time including the fractional equivalents of each percent.
Example 1: Write each percent as a decimal: 18%, 7%, 82%, 55%
Solution | ||
Percent | Fraction | Decimal |
18% | .18 | |
07% | .07 | |
82% | .82 | |
55% | .55 |
How To Write 2/6 As A Decimal
Let's look at another example of writing percents as decimals.
Example 2: Write each percent as a decimal: 12.5%, 89.19%, 39.2%, 71.935%
Solution | |
Percent | Decimal |
12.5% | .12500 |
89.19% | .89190 |
39.2% | .39200 |
71.935% | .71935 |
Summary: To write a percent as a decimal, remove the percent symbol, then move the decimal point two places to the left, adding in zeros as needed.
Exercises
Directions: Read each question below. Select your answer by clicking on its button. Immediate feedback is provided in the RESULTS BOX. If you make a mistake, choose a different button.
1. Which of the following is equal to 64%? |
2. Which of the following is equal to 7.27%? |
3. Which of the following is equal to 91.4763%? |
4. Which number has the greatest value? |
5. Which number has the least value? |