### About Simplifying Fractions:

When we simplify a fraction (also known as reducing a fraction to its lowest terms) we cancel all common factors between the numerator and denominator. For example, the fraction four-eighths is the same as one-half. We can cancel a common factor of four between numerator and denominator.

Test Objectives

- Demonstrate the ability to find the prime factorization of a whole number
- Demonstrate the ability to find the GCF for two numbers
- Demonstrate the ability to simplify a fraction

#1:

Instructions: Simplify each fraction.

a)$$\frac{39}{45}$$

b)$$\frac{32}{144}$$

c)$$\frac{105}{-105}$$

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#2:

Instructions: Simplify each fraction.

a)$$\frac{77}{126}$$

b)$$\frac{-361}{152}$$

c)$$\frac{80}{130}$$

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#3:

Instructions: Simplify each fraction.

a)$$\frac{119}{49}$$

b)$$\frac{9}{-57}$$

c)$$\frac{45}{-100}$$

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#4:

Instructions: Simplify each fraction.

a)$$\frac{154}{209}$$

b)$$\frac{13}{19}$$

c)$$\frac{80}{32}$$

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#5:

Instructions: Simplify each fraction.

a)$$\frac{-220}{176}$$

b)$$\frac{84}{96}$$

c)$$\frac{-28}{119}$$

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Written Solutions:

#1:

Solutions:

a) $$\frac{13}{15}$$

b) $$\frac{2}{9}$$

c) $$-1$$

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#2:

Solutions:

a) $$\frac{11}{18}$$

b) $$-\frac{19}{8}$$

c) $$\frac{8}{13}$$

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#3:

Solutions:

a) $$\frac{17}{7}$$

b) $$-\frac{3}{19}$$

c) $$-\frac{9}{20}$$

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#4:

Solutions:

a) $$\frac{14}{19}$$

b) $$\frac{13}{19}$$

c) $$\frac{5}{2}$$

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#5:

Solutions:

a) $$-\frac{5}{4}$$

b) $$\frac{7}{8}$$

c) $$-\frac{4}{17}$$