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Quizzes > High School Quizzes > Mathematics

Fractions Quiz: Practice Adding & Dividing

Master adding and dividing fractions confidently

Difficulty: Moderate
Grade: Grade 4
Study OutcomesCheat Sheet
Colorful paper art promoting Fraction Frenzy trivia, a tool for mastering fraction addition and division.

What is 1/4 + 1/4?
1/4
2/3
1/2
1/8
Adding fractions with the same denominator means adding the numerators directly: 1 + 1 = 2. The fraction 2/4 simplifies to 1/2, making it the correct answer.
What is 3/8 + 2/8?
1/2
7/8
1/4
5/8
Since both fractions share the same denominator, you simply add the numerators: 3 + 2 equals 5, with the denominator remaining 8. Thus, the answer is 5/8.
What is 1/2 divided by 2?
1/4
2/1
1/8
1/2
Dividing a fraction by a whole number is equivalent to multiplying by its reciprocal. Here, 1/2 divided by 2 becomes 1/2 multiplied by 1/2, which equals 1/4.
What is 1/2 + 1/3?
2/3
1/5
5/6
6/5
To add fractions with different denominators, you first find a common denominator. Converting 1/2 and 1/3 to have a denominator of 6 gives 3/6 and 2/6 respectively, and their sum is 5/6.
If you have 1/4 of a pie and get another 1/4 of a pie, how much pie do you have?
1/2
1
1/4
3/4
Adding 1/4 and 1/4 gives 2/4, which reduces to 1/2. Therefore, you end up with half a pie.
What is 2/3 + 3/5?
5/8
17/15
19/15
7/8
To add 2/3 and 3/5, find the common denominator, which is 15. Converting gives 10/15 and 9/15 respectively, and their sum is 19/15.
What is 3/10 + 1/5?
2/5
1/2
4/10
1/3
First convert 1/5 to an equivalent fraction with denominator 10, which is 2/10. Then add 3/10 and 2/10 to get 5/10, which simplifies to 1/2.
What is (3/4) ÷ (2/3)?
8/9
3/8
1/8
9/8
Dividing by a fraction means multiplying by its reciprocal. Thus, (3/4) ÷ (2/3) becomes 3/4 multiplied by 3/2, which equals 9/8.
What is 1/2 ÷ (3/7)?
3/14
13/14
7/6
2/3
Dividing 1/2 by 3/7 is the same as multiplying by the reciprocal of 3/7. So, 1/2 Ã - 7/3 equals 7/6.
What is 4/9 + 2/3?
8/9
10/9
1/3
1
Convert 2/3 to an equivalent fraction with denominator 9 (which is 6/9). Adding 4/9 and 6/9 gives you 10/9.
Simplify the expression: 5/12 + 1/4.
1
3/4
8/12
2/3
Convert 1/4 to 3/12 so that both fractions have a common denominator. Adding them yields 8/12, which simplifies to 2/3.
What is 5/6 divided by 10?
1/12
1/10
5/6
1/2
Dividing 5/6 by 10 means multiplying 5/6 by 1/10, resulting in 5/60 which simplifies to 1/12.
If John ate 2/5 of a pizza and then had another 1/3 of a pizza, how much pizza did he eat in total?
7/15
8/15
13/15
11/15
Convert the fractions to a common denominator, which for 2/5 and 1/3 is 15. This converts to 6/15 and 5/15 respectively; their sum is 11/15.
What is the sum of 7/8 and 1/16?
7/16
1/2
15/16
8/16
Convert 7/8 to an equivalent fraction with denominator 16 by multiplying by 2 to get 14/16. Then, 14/16 plus 1/16 equals 15/16.
Divide 3/5 by 4.
3/20
3/10
4/15
1/5
Dividing a fraction by a whole number means multiplying by the reciprocal. Here, 3/5 divided by 4 is 3/5 Ã - 1/4, which equals 3/20.
Solve: 5/8 + 7/12. Express your answer in simplest form.
29/32
28/24
30/24
29/24
Find a common denominator for 5/8 and 7/12, which is 24. Converting gives 15/24 and 14/24 respectively, and their sum is 29/24, which is already in simplest form.
Calculate: (3/7 + 2/5) ÷ (4/9).
261/105
261/154
261/140
29/35
First, add 3/7 and 2/5 by finding a common denominator to obtain 29/35. Then, dividing by 4/9 is the same as multiplying by 9/4, which results in 261/140.
Using the formula m/n + p/q = (mq + np)/(nq), what is 1/3 + 1/4?
7/24
1/7
8/12
7/12
By applying the formula, compute (1Ã - 4 + 1Ã - 3) divided by (3Ã - 4) which simplifies to (4+3)/12, yielding 7/12. This confirms that 7/12 is the correct result.
Determine the result of dividing (7/10 + 3/5) by (2/3 - 1/6).
13/10
26/15
3/5
13/5
First, add 7/10 and 3/5 (noting that 3/5 is equivalent to 6/10) to get 13/10. Then, subtract 1/6 from 2/3 (with 2/3 expressed as 4/6) to obtain 1/2. Dividing 13/10 by 1/2 gives 13/5.
Solve the expression: [(1/2 + 1/3) ÷ (3/4)] + (2/5 ÷ 2).
59/50
50/45
69/45
59/45
First, calculate 1/2 + 1/3 to get 5/6 and then divide by 3/4 to obtain 10/9. Next, 2/5 divided by 2 gives 1/5. Adding 10/9 and 1/5 (using a common denominator) results in 59/45.
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Study Outcomes

  1. Apply strategies to correctly add fractions with unlike denominators.
  2. Analyze methods for dividing fractions accurately.
  3. Create and simplify fraction expressions during problem solving.
  4. Interpret and solve real-world scenarios involving fraction operations.
  5. Assess personal understanding of adding and dividing fractions.

Fractions Quiz: Adding & Dividing Practice Cheat Sheet

  1. Understand the Basics of Fractions - Fractions are parts of a whole: numerator over denominator. This foundation is crucial for all fraction operations. Think of fractions like pizza slices - way more fun than scary numbers! Symbolab Study Guide
  2. Adding Fractions with Like Denominators - When denominators match, you just add numerators and keep the bottom number. It's as easy as grabbing extra slices of the same size! Practicing this builds your confidence one slice at a time. CTEEC Adding Fractions Worksheet
  3. Adding Fractions with Unlike Denominators - With different denominators, find a common bottom number first, then add the top parts. It's like resizing pizza slices so they all match before sharing. Soon you'll breeze through tricky additions without breaking a sweat. CTEEC Adding Fractions Worksheet
  4. Simplifying Fractions - Always simplify your result by dividing numerator and denominator by their greatest common factor. Reducing fractions is like tidying up your room: everything looks neater! This ensures you give the simplest and sweetest answer. Math Salamanders Simplifying Fractions
  5. Converting Mixed Numbers to Improper Fractions - Multiply the whole number by the denominator, then add the numerator. It's like converting whole pizzas and extra slices into a single pile of the same-sized slices. This trick makes multiplication and division super smooth. CTEEC Mixed Numbers Worksheet
  6. Dividing Fractions - Dividing fractions means flipping the second one and multiplying. For example, turning ÷ 4/5 into × 5/4 is like swapping the second slice's top and bottom numbers. It's a quick switch that unlocks division magic! Online Math Learning Division Practice
  7. Dividing Mixed Numbers - Mixed-number division needs conversion to improper fractions first. Change both numbers, swap the divisor, then multiply. With this step-by-step plan, even boss-level problems feel like a breezy side quest. Super Teacher Division Worksheets
  8. Multiplying Fractions - Multiplying fractions is straightforward - just multiply across top and bottom. The result might be messy, but simplification will save the day. Soon you'll treat even 5/7 × 3/8 like a walk in the park! Math-Center Multiplication Guide
  9. Multiplying Mixed Numbers - For mixed numbers, convert to improper fractions, multiply, then simplify the product. It's like prepping ingredients before cooking, so everything blends perfectly. Master this and you'll get the tastiest answers every time. Math-Center Mixed Numbers Guide
  10. Practice Word Problems - Tackling word problems applies your fraction skills in real-life scenarios. Whether you're baking cookies or measuring distances, fractions are everywhere! Practice these puzzles to level up both your brain and your confidence. Math Goodies Word Problems
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