8/3 as a Decimal
In mathematics, a decimal is a number that can be expressed as a fraction of 10, or a multiple of 10. Decimals are often used to represent numbers that are not whole numbers, such as fractions or percentages.
To convert a fraction to a decimal, we can use long division. For example, to convert 8/3 to a decimal, we would divide 8 by 3.
8 / 3 = 2 R 2 The quotient, 2, is the whole number part of the decimal. The remainder, 2, is the fractional part of the decimal. To express the fractional part as a decimal, we can multiply it by 10 and add a decimal point.
2 R 2 = 0.666666... The decimal 0.666666… is a repeating decimal, which means that the same sequence of digits repeats infinitely. In this case, the repeating sequence is 666.
Therefore, the answer to 8/3 as a decimal is 2.666666…, or 2.6 repeating.
Related Questions
- What is the equivalent fraction of 8/3?
The equivalent fraction of 8/3 is 2 2/3.
- How can I convert a mixed number to a decimal?
To convert a mixed number to a decimal, we can first convert the whole number part of the mixed number to a decimal. Then, we can add the fractional part of the mixed number to the decimal.
For example, to convert 2 2/3 to a decimal, we would first convert 2 to a decimal, which is 2. Then, we would add 2/3 to 2.
2 + 2/3 = 2.666666... Therefore, the answer to 2 2/3 as a decimal is 2.666666…, or 2.6 repeating.
- How can I convert a decimal to a fraction?
To convert a decimal to a fraction, we can first identify the whole number part of the decimal. Then, we can express the fractional part of the decimal as a fraction with a denominator of 10.
For example, to convert 2.6 to a fraction, we would first identify the whole number part of the decimal, which is 2. Then, we would express the fractional part of the decimal as a fraction with a denominator of 10.
2.6 = 2 + 6/10 Therefore, the answer to 2.6 as a fraction is 2 6/10, or 2 2/5.
I hope this article has been helpful. Please let me know if you have any other questions.