What is the Fraction ⅔ as a Decimal?
Answer – The fraction when written as a decimal would be or 0.67.
Explanation:
In order to convert a fraction into a decimal, division must be performed.
The numerator is divided by the denominator.
In the case of the fraction , the numerator is 2 and the denominator is 3.
The decimal is a recurring one. In the division function, the remainder will never be zero.
Recurring decimals can be written in a few different ways.
One way is by placing a bar over the digit that is recurring – . The bar indicates that the decimal is a recurring one.
Another method is by rounding up the last digit. Here, it could be written as 0.67, 0.667, 0.6667 or as the writer chooses. Since 6 is the recurring number, rounding it up one number produces 7. Instead of repeating the 6, using the ellipsis (…) or using the bar, the decimal can be given a fixed number of digits by replacing the last 6 with a 7.
Popular Questions
SHOW MORE TEXTBOOK SOLUTIONS+
- Round 15.2175 to the nearest (a) thousandth (b) hundredth (c) tenth.
- PRACTICE TEST In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.) 428. 13
- PRACTICE TEST In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.) 1112
- Round 6.582 to the nearest (a) hundredth (b) tenth (c) whole number.
- Write 2711 as a decimal.
- Given numbers 25,38,1,6,121, 2.041975..., list the (a) whole numbers (b) integers (c) rational numbers (d) irrational numbers (e) real numbers.
- TRY IT : 5.56 Write the fraction as a decimal: 38 .
- Given the numbers 3,2,0.3,95,4,49 , list the (a) whole numbers (b) integers (c) rational numbers (d) irrational numbers (e) real numbers.
- TRY IT : 5.58 Write the fraction as a decimal: 112 .
- Objective D Write each percent as a decimal and a fraction. See Examples 21 and 22. From 2005 to 2015, use of smoked tobacco products in the United...
- Use the decimal equivalent chart on page 69 to find the fraction nearest 0.345".
- In the following exercises, convert each percent (a) a simplified fraction and (b) a decimal. A couple plans to have three children. The probabilit...
- Add or subtract: (a) 5.12318.47 (b) 37.4250 .
- Name the decimal: 13.461.
- Write the repeating decimal 0.8 as a fraction.
- In the following exercises, find the sum. 340. Write the repeating decimal as a fraction. 0.81
- In the following exercises, write each repeating decimal as a fraction. 299. 0.36
- Express the repeating decimal as a fraction. 5.373737
- Write each decimal as a fraction. (Do not write in lowest terms.) See Example 1.
14. 5.166
- In the following exercises, write each repeating decimal as a fraction. 179. 0.7
- In the following exercises, write each repeating decimal as a fraction. 178. 0.6
- In the following exercises, write each repeating decimal as a fraction. 182. 0.27
- Write 38 as a decimal.