# 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

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