Name ________________________________ Block _______ Date __________________
OPERATIONS WITH FRACTIONS STUDY GUIDE
TEST ON: _____________________________________
Know how to…
• Write equivalent fractions
• Change mixed numbers to improper fractions
• Change improper fractions to mixed numbers
• Reduce fractions to lowest terms
• Add, subtract, multiply and divide fractions
• Subtract fractions WITH BORROWING
Write 3 equivalent fractions for each fraction below.
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= _______ = _______ = _______
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= _______ = _______ = _______
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= _______ = _______ = _______
= _______ = _______ = _______
Write each mixed number as an improper fraction.
4
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= _________
2
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= _________
7
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= _________
Write each improper fraction as a mixed number.
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= ___________
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= ___________
Reduce to lowest terms.
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= ___________
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Adding or Subtracting Fractions:
*You must find a common denominator BEFORE you solving the problem.
1. Find a common denominator (common multiple).
2. Rewrite each fraction if needed.
3. ADD the numerators and KEEP the denominator the same.
4. Add the whole numbers.
5. Change to a mixed number and reduce if necessary.
TRY THESE!
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1 +5
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5 -2
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3 +4
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4 -1
Multiplying Fractions:
* You do NOT need to find a common denominator.
1. Rewrite each mixed number as an improper fraction if needed.
2. Multiply the numerators.
3. Multiply the denominators. MULTIPLY ACROSS!! NOT CROSS
4. Change to a mixed number and reduce if necessary.
TRY THESE!
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1 ∙ 3
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4 ∙ 5
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2 ∙ 1
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3 ∙ 3
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Dividing Fractions:
* You do NOT need to find a common denominator.
1. Rewrite each mixed number as an improper fraction if needed.
2. Rewrite the problem
• Keep the first number the same
• Change division to multiplication
• Change the second number to its reciprocal (flip)
3. Multiply the numerators.
MULTIPLY ACROSS!! NOT CROSS
4. Multiply the denominators.
5. Change to a mixed number and reduce if necessary.
TRY THESE!
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2 ÷
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3 ÷ 5
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1 ÷
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6 ÷ 4
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