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Quizzes > High School Quizzes > Mathematics

Practice Quiz: Adding/Subtracting Fractions with Unlike Denominators

Enhance Your Skills in Mixed & Rational Fractions

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting Signed Fractions Showdown, a fun math trivia for middle school students.

This fractions quiz helps you practice adding, subtracting, multiplying, and dividing signed fractions. Work through 20 questions that cover common slips with negatives, improper fractions, and simplification. Use it to check gaps before a test and build speed and accuracy.

What is the product of (2/3) multiplied by (3/4)?
1/2
1/3
3/4
2/7
To multiply fractions, multiply the numerators and denominators: (2*3)/(3*4)=6/12, which simplifies to 1/2. Hence, the product is 1/2.
What is the quotient of (3/4) divided by (2/5)?
3/10
15/8
5/6
8/15
Dividing fractions involves multiplying by the reciprocal: (3/4) x (5/2)=15/8. Therefore, the correct quotient is 15/8.
Calculate the product of (1/2) and (4/5).
3/5
4/10
2/5
1/3
Multiply the numerators (1*4) and denominators (2*5) to get 4/10, which simplifies to 2/5. The simplified result is therefore 2/5.
What is the result of multiplying (-3/7) by (2/5)?
-5/7
-6/35
5/7
6/35
When multiplying a negative fraction by a positive fraction, the product is negative. Here, (-3/7) x (2/5)= -6/35.
Determine the quotient of (-1/2) divided by (3/4).
-3/4
2/3
-2/3
3/4
Dividing by a fraction is equivalent to multiplying by its reciprocal. (-1/2) ÷ (3/4)= (-1/2) x (4/3)= -4/6, which simplifies to -2/3.
What is the product of (-2/3) and (-4/5)?
-8/15
4/7
8/15
-4/15
Multiplying two negative fractions results in a positive product. (-2/3) x (-4/5)= 8/15 after multiplying the numerators and denominators.
Compute the result of (5/6) divided by (-2/3).
-5/4
-10/9
5/9
5/4
Dividing by a fraction requires multiplying by its reciprocal. (5/6) ÷ (-2/3)= (5/6) x (-3/2)= -15/12, which simplifies to -5/4.
Simplify the expression: (-7/8) x (4/ -9).
28/72
-7/18
7/18
-28/72
Multiplying two fractions with negative signs in the numerator or denominator results in a positive product. (-7/8) x (4/ -9) gives 28/72, which simplifies to 7/18.
Find the quotient of (-3/10) divided by (-9/20).
60/90
2/3
1/3
-2/3
When dividing two negative fractions, the negatives cancel. (-3/10) ÷ (-9/20)= (3/10) x (20/9)= 60/90, which simplifies to 2/3.
Evaluate the expression: (-5/12) x (6/11) ÷ (-3/4).
-5/22
5/22
10/33
-10/33
Compute the multiplication first giving (-5/12) x (6/11)= -30/132, which simplifies to -5/22. Dividing by (-3/4) translates into multiplying by its reciprocal, and the negatives cancel to yield 10/33.
Which statement explains the rule for multiplying fractions when one factor is negative?
A negative fraction makes the multiplication undefined.
The result is zero if only one fraction is negative.
The product is negative since the negative sign in one fraction makes the entire product negative.
The product is positive because negatives cancel each other out in multiplication.
Multiplying one negative fraction with a positive fraction results in a negative product. The negative sign affects the final answer by making it negative.
What is the simplified result of (-8/15) ÷ (4/9)?
-8/15
6/5
-6/5
-18/25
Dividing (-8/15) by (4/9) is equivalent to multiplying (-8/15) by the reciprocal (9/4), yielding -72/60, which simplifies to -6/5.
Calculate the result of (7/8) divided by (-1/2).
14/8
7/4
-7/4
-7/16
Dividing by a fraction involves multiplying by its reciprocal. (7/8) ÷ (-1/2)= (7/8) x (-2)= -14/8, which simplifies to -7/4.
Find the product of (-3/5) and (-10/9).
30/45
-2/3
-30/45
2/3
Multiplying two negative fractions results in a positive product. Here, (-3/5) x (-10/9)= 30/45, which simplifies to 2/3.
Determine the quotient: (-11/14) ÷ (1/2).
-11/7
11/7
22/14
-11/28
To divide by a fraction, multiply by its reciprocal: (-11/14) x (2)= -22/14, which simplifies to -11/7.
Simplify the complex expression: [(-2/3) ÷ (4/5)] x (-15/8).
-5/6
-25/16
25/16
5/6
First, compute (-2/3) ÷ (4/5)= (-2/3) x (5/4)= -10/12, which simplifies to -5/6. Multiplying this result by (-15/8) gives 75/48, which reduces to 25/16 as the negatives cancel.
Evaluate and simplify: (-3/4) x (2/5) ÷ (-6/7).
7/20
-7/10
-7/20
7/10
Multiply (-3/4) and (2/5) to get -6/20, which simplifies to -3/10. Dividing by (-6/7) is equivalent to multiplying by (-7/6), resulting in 21/60, which simplifies to 7/20.
Given the identity (-a/b) x (c/d)= -ac/bd, what is the sign of the product when a, b, c, and d are all positive?
Zero
Negative
Undefined
Positive
Since one fraction carries a negative sign and the other is positive, the product remains negative. Multiplying a negative by a positive yields a negative result.
Determine the value of: [(-7/9) ÷ (-1/3)] x [(2/5) ÷ (-4/7)].
49/30
-49/30
7/30
-7/30
First, (-7/9) ÷ (-1/3) becomes (-7/9) x (-3)= 7/3 after the negatives cancel. Then, (2/5) ÷ (-4/7) equals (2/5) x (-7/4)= -7/10. Multiplying 7/3 by -7/10 results in -49/30.
Solve: [(-3/8) x (-16/9)] ÷ [(4/5) x (-5/2)].
1/3
2/3
-2/3
-1/3
Start by computing the numerator: (-3/8) x (-16/9)= 48/72, which simplifies to 2/3. Next, the denominator (4/5) x (-5/2)= -20/10 simplifies to -2. Dividing 2/3 by -2 gives -1/3.
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Study Outcomes

  1. Apply the rules for multiplying and dividing positive and negative fractions.
  2. Analyze fractional expressions to identify and correct sign errors.
  3. Simplify complex problems involving operations with signed fractions.
  4. Evaluate problem-solving strategies in interactive quiz scenarios.
  5. Create efficient steps to verify solutions when working with signed fractions.

Fractions Quiz: Add/Subtract, Multiply/Divide Cheat Sheet

  1. Multiplying signed fractions - Multiply numerators and denominators separately, then count the negative signs: an even number means a positive result, while an odd number gives you a negative product. It's as simple as straight-across multiplication with a quick sign check!
  2. Dividing signed fractions - Flip the second fraction (take its reciprocal) and multiply as usual, then apply the same "even/odd negatives" rule. This turns division into multiplication, making those tricky negative signs easier to handle.
  3. Simplifying to lowest terms - Use the greatest common factor (GCF) to reduce both numerator and denominator until they can't go any lower. Simplified fractions are not only cleaner but also faster to work with in future calculations.
  4. Order of operations with fractions - Remember PEMDAS: do Parentheses, Exponents, then Multiplication and Division (left to right), followed by Addition and Subtraction. This keeps mixed problems in check and avoids dreaded mistakes.
  5. Adding and subtracting negatives - Find a common denominator first, then add or subtract numerators while carefully managing signs. Think of negative fractions like cold temperatures: combining two negatives makes it colder, and a negative minus a positive warms things up.
  6. Mixed operations practice - Blend multiplication, division, addition, and subtraction of signed fractions in one problem to solidify all your skills. This builds confidence and helps you spot which operation to tackle first.
  7. Improper fractions to mixed numbers - Turn big numerators over small denominators into a whole number plus a fraction, and flip back when needed. Mastering this switch makes interpreting answers in word problems way more intuitive.
  8. Understanding reciprocals - A reciprocal swaps numerator and denominator, and it's the secret weapon for dividing fractions. Keep this concept sharp and division becomes a breeze!
  9. Real-world fraction applications - Apply fractions to cooking, budgeting, or measuring materials - seeing math in action makes the rules stick. Plus, it's way more fun to solve a recipe problem than a random textbook example!
  10. Interactive online practice - Reinforce your skills with quizzes and drag‑and‑drop worksheets that give instant feedback. The more you practice, the more natural signed fractions become, so don't skip the fun games!
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