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