1.1: Understanding Fractions
Fractions are portions of whole numbers consisting of a numerator (or the top number of the fraction) and the denominator (or the bottom number of the fraction.) They are numbers that represent parts of a whole.
Fractions are broken down into three classifications:
- Proper - \(\dfrac{3}{4}\) - Where the numerator is smaller than the denominator
- Improper - \(\dfrac{5}{2}\) - Where the numerator is larger than the denominator
- Mixed - \(1\dfrac{6}{7}\) - Where a whole number precedes the fraction
Exercise 1.1
Identify the following as a proper fraction, improper fraction, or mixed number. Identify the correct word.
|
|
\(\dfrac{1}{2}\) |
Proper |
Improper |
Mixed |
|
|
\(\dfrac{10}{12}\) |
Proper |
Improper |
Mixed |
| 3. | \(10 \dfrac{1}{2}\) | Proper | Improper | Mixed |
|
|
\(\dfrac{11}{3}\) |
Proper |
Improper |
Mixed |
|
|
\(\dfrac{101}{13}\) |
Proper |
Improper |
Mixed |
|
|
\(130 \dfrac{10}{13}\) |
Proper |
Improper |
Mixed |
|
|
\(\dfrac{1,000}{1,111}\) |
Proper |
Improper |
Mixed |
|
|
\(\dfrac{12}{7}\) |
Proper |
Improper |
Mixed |
|
|
\(\dfrac{1}{7}\) |
Proper |
Improper |
Mixed |
|
|
\(13 \dfrac{1}{7}\) |
Proper |
Improper |
Mixed |