Proper Fractions Study Guide

What is a Proper Fraction?

A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number).

Example:

1/2 is a proper fraction because the numerator (1) is less than the denominator (2).

Properties of Proper Fractions:

1. Proper fractions are always less than 1.
2. Proper fractions can be converted to decimals, and the decimal value will be less than 1.
3. When adding or subtracting proper fractions, the result will always be a proper fraction.
4. When multiplying two proper fractions, the result will always be a proper fraction.
5. When dividing a proper fraction by another proper fraction, the result may be a proper fraction or a mixed number.

Practice Problems:

1. Determine whether the following fractions are proper fractions:
a) 3/5
b) 7/8
c) 4/3
d) 2/9
e) 6/6

2. Convert the following proper fractions to decimals:
a) 1/4
b) 3/7
c) 5/9
d) 2/3
e) 4/11

3. Add the following proper fractions:
a) 1/3 + 1/4
b) 2/5 + 3/7
c) 5/8 + 1/2
d) 3/4 + 2/9
e) 1/6 + 1/6

4. Multiply the following proper fractions:
a) 1/2 * 1/3
b) 2/5 * 3/7
c) 3/4 * 1/2
d) 4/9 * 2/3
e) 5/6 * 1/4

5. Divide the following proper fractions:
a) (3/4) / (1/2)
b) (2/5) / (1/3)
c) (5/8) / (1/4)
d) (3/7) / (2/9)
e) (4/11) / (1/6)

[Proper Fraction] Related Worksheets and Study Guides:

• Exponents, Factors and FractionsMathematics • Seventh Grade
• Mixed NumbersMathematics • Sixth Grade