What is 2 6/8 in fraction form??
The Correct Answer and Explanation is:
To convert the mixed number (2 \frac{6}{8}) into fraction form, follow these steps:
- Understand the Components: A mixed number consists of a whole number and a proper fraction. In this case, (2) is the whole number, and (\frac{6}{8}) is the fractional part.
- Convert the Whole Number to a Fraction: To convert the whole number (2) into a fraction, you can express it as (\frac{2}{1}). This allows us to work with fractions more easily.
- Find a Common Denominator: Since the fractional part is (\frac{6}{8}), we need to convert (2) to have the same denominator (which is (8)). To do this, multiply the numerator and denominator of (\frac{2}{1}) by (8):
[
\frac{2 \times 8}{1 \times 8} = \frac{16}{8}
] - Add the Fractions: Now that both components are expressed as fractions with the same denominator, we can add them together:
[
\frac{16}{8} + \frac{6}{8} = \frac{16 + 6}{8} = \frac{22}{8}
] - Simplify the Resulting Fraction: The fraction (\frac{22}{8}) can be simplified. Both the numerator and denominator can be divided by (2):
[
\frac{22 \div 2}{8 \div 2} = \frac{11}{4}
]
Thus, the mixed number (2 \frac{6}{8}) in fraction form is (\frac{11}{4}).
Conclusion
In summary, the process of converting a mixed number to an improper fraction involves converting the whole number into a fraction, finding a common denominator, and then performing addition. Finally, simplifying the resulting fraction is essential to express it in its simplest form. The result (\frac{11}{4}) indicates that (2 \frac{6}{8}) is equivalent to (2.75) in decimal form, showcasing the relationship between mixed numbers and improper fractions. This conversion is fundamental in mathematics, particularly in operations involving fractions, as it allows for easier calculations and clearer representations of numerical values.