proper fraction 2/5 =0.4 improper fraction 11/3 =3.66 mixed fraction 2/½ =2.5
The Correct Answer and Explanation is:
Proper Fraction: 2/5 = 0.4
Improper Fraction: 11/3 = 3.66 (rounded)
Mixed Fraction: 2½ = 2.5
Explanation:
Fractions represent parts of a whole and can be categorized into three main types: proper fractions, improper fractions, and mixed fractions. Each type has a specific structure and can be converted to a decimal value.
- Proper Fraction – 2/5 = 0.4
A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number). In the example 2/5, the numerator is 2, and the denominator is 5. Since 2 < 5, it is a proper fraction. To convert it into a decimal, divide the numerator by the denominator:
2 ÷ 5 = 0.4
This means that 2/5 of a whole equals 0.4 in decimal form. - Improper Fraction – 11/3 = 3.66
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In 11/3, the numerator is 11 and the denominator is 3. Since 11 > 3, it is improper. To convert to a decimal, divide 11 by 3:
11 ÷ 3 = 3.666…
This is a repeating decimal. It can be rounded to two decimal places as 3.66 for simplicity, but the exact value is 3.6̅ (with 6 repeating). - Mixed Fraction – 2½ = 2.5
A mixed fraction is a combination of a whole number and a proper fraction. In 2½, the whole number is 2, and the fraction is 1/2. To convert to a decimal:
1/2 = 0.5, so
2 + 0.5 = 2.5
Thus, 2½ expressed as a decimal is 2.5.
Each type of fraction shows a different way of representing quantities and can be converted into decimal form using division or addition as needed.
