What is 11 divided by 5 as a fraction
The Correct Answer and Explanation is:
To express 11 divided by 5 as a fraction, we write it as:
[
\frac{11}{5}
]
This fraction represents the division of 11 by 5, where 11 is the numerator (the number being divided) and 5 is the denominator (the number dividing). The result of this division is a proper fraction, since the numerator is larger than the denominator, indicating that the number is greater than 1.
Explanation of Fractions and Division:
A fraction is a way of expressing division. A fraction consists of two numbers: the numerator (the top number) and the denominator (the bottom number). In this case, 11 is the numerator, and 5 is the denominator. The fraction (\frac{11}{5}) means “11 divided by 5.”
Converting to a Mixed Number:
Sometimes it’s helpful to express an improper fraction (where the numerator is larger than the denominator) as a mixed number. To convert (\frac{11}{5}) into a mixed number, we perform the division of 11 by 5:
- Divide 11 by 5: 11 ÷ 5 = 2 with a remainder of 1.
- The whole number part of the mixed number is 2 (the quotient), and the remainder of 1 becomes the numerator of the fractional part. The denominator remains 5.
Thus, (\frac{11}{5} = 2 \frac{1}{5}), which means 2 whole parts and (\frac{1}{5}) of another part.
Decimal Representation:
If we wish to express (\frac{11}{5}) as a decimal, we can divide 11 by 5:
[
11 ÷ 5 = 2.2
]
So, (\frac{11}{5}) is equal to 2.2 in decimal form.
Conclusion:
The fraction (\frac{11}{5}) represents the division of 11 by 5. It is an improper fraction that can also be expressed as the mixed number 2 (\frac{1}{5}) or the decimal 2.2.