Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Comparing Fractions Worksheet Practice Quiz

Practice adding, subtracting, and comparing fractions now.

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting a middle school math trivia quiz on mixed denominator fractions.

Which fraction is larger, 1/2 or 1/3?
3/2
1/2
1/3
2/3
Converting to a common denominator shows that 1/2 equals 3/6 while 1/3 equals 2/6, so 1/2 is larger. This method clearly identifies the greater fraction.
Which fraction is greater, 2/5 or 1/4?
1/4
5/6
3/5
2/5
By converting to a common denominator (20), 2/5 becomes 8/20 and 1/4 becomes 5/20. Thus, 2/5 is greater than 1/4.
Which common denominator is useful for comparing 1/6 and 1/8?
14
20
18
24
The least common multiple of 6 and 8 is 24, making it the most appropriate common denominator. This helps in comparing the fractions directly.
Which fraction is equivalent to 1/2?
3/4
2/4
2/3
1/3
The fraction 2/4 simplifies to 1/2 when both the numerator and denominator are divided by 2. This is a basic equivalence in fractions.
Which fraction is equivalent to 3/6?
3/4
1/3
2/3
1/2
Simplifying 3/6 by dividing both the numerator and denominator by 3 results in 1/2. This confirms the equivalent fraction.
Which fraction is larger, 3/7 or 4/9?
3/7
4/7
3/9
4/9
By finding a common denominator or converting to decimals, 4/9 (approximately 0.444) is determined to be larger than 3/7 (approximately 0.429).
Between 5/12 and 1/3, which fraction is greater?
1/3
4/12
3/12
5/12
Since 1/3 is equivalent to 4/12, comparing it with 5/12 shows that 5/12 is the larger fraction. Common denominators make such comparisons straightforward.
What is the least common denominator (LCD) for the fractions 3/8 and 5/12?
24
20
16
28
The least common multiple of 8 and 12 is 24, which makes 24 the ideal common denominator for these fractions. This simplifies the process of comparison and calculation.
Which of these fractions is in simplest form?
4/8
3/5
6/9
10/15
Among the provided options, 3/5 is already in its simplest form while the others can be reduced further. This question tests the ability to simplify fractions.
Which fraction is larger, 7/15 or 8/17?
7/15
8/15
7/17
8/17
By converting each fraction to a decimal or finding a common denominator, 8/17 (approximately 0.471) is found to be slightly larger than 7/15 (approximately 0.467).
Convert the mixed number 1 1/2 to an improper fraction.
1/2
3/2
4/2
2/3
To convert 1 1/2 to an improper fraction, multiply the whole number by the denominator (1Ã - 2 = 2) and then add the numerator to get 3, resulting in 3/2.
What is the sum of 1/4 and 1/3?
1/7
7/12
6/12
5/12
Finding a common denominator of 12, 1/4 becomes 3/12 and 1/3 becomes 4/12; adding them results in 7/12. This sum is already in its simplest form.
Which fraction is equivalent to 5/10?
5/8
1/2
2/5
3/5
Dividing both the numerator and denominator of 5/10 by 5 results in 1/2. This demonstrates the concept of equivalent fractions.
When ordering fractions, which fraction has the smallest value: 2/3, 3/5, 4/7, or 5/8?
3/5
5/8
4/7
2/3
When converted to decimals, 2/3 is approximately 0.667, 3/5 is 0.6, 4/7 is about 0.571, and 5/8 is 0.625. Therefore, 4/7 has the smallest value.
What is the result of subtracting 3/8 from 5/8?
1/2
2/8
3/8
1/4
Since the denominators are the same, subtract the numerators: 5 - 3 equals 2, resulting in 2/8 which simplifies to 1/4. This reinforces subtraction with like denominators.
Which fraction is larger, 7/12 or 5/9?
6/11
7/12
8/12
5/9
After converting both fractions to a common denominator, it is seen that 7/12 (approximately 0.583) is larger than 5/9 (approximately 0.556). This conversion method clarifies the comparison.
Among the fractions 3/8, 5/12, and 2/5, which one is the smallest?
3/8
2/5
5/12
3/5
Converting the fractions to decimals gives 3/8 ≈ 0.375, 5/12 ≈ 0.417, and 2/5 = 0.4. Thus, 3/8 has the smallest value.
What is the sum of 3/7 and 2/5 when expressed in simplest form?
27/35
29/35
30/35
25/35
Finding the least common denominator (35), 3/7 converts to 15/35 and 2/5 to 14/35; their sum is 29/35, which is already in simplest form.
Convert the mixed number 2 2/3 into an improper fraction.
10/3
9/3
8/3
7/3
Multiply the whole number 2 by the denominator 3 to get 6, then add the numerator 2 to obtain 8. The improper fraction is therefore 8/3.
Which fraction is closest in value to 0.7?
7/10
5/7
2/3
3/4
Converted to decimals, 7/10 equals exactly 0.7, while the other fractions differ from this value. Therefore, 7/10 is the fraction that most closely matches 0.7.
0
{"name":"Which fraction is larger, 1\/2 or 1\/3?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Which fraction is larger, 1\/2 or 1\/3?, Which fraction is greater, 2\/5 or 1\/4?, Which common denominator is useful for comparing 1\/6 and 1\/8?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Apply strategies to convert fractions with different denominators into equivalent forms.
  2. Analyze numerical relationships to accurately compare mixed fractions.
  3. Demonstrate the ability to order fractions from least to greatest.
  4. Simplify complex fraction problems by breaking them down into manageable steps.
  5. Evaluate the impact of denominators on fraction size and equivalence.

Fraction Quiz: Add & Compare Fractions Cheat Sheet

  1. Fractions as Slices of a Whole - Think of a pizza or a chocolate bar: the numerator tells you how many tasty slices you have, and the denominator shows the total slices available. Mastering this idea helps you visualize and solve all fraction problems with confidence. Twinkl Comparing Fractions Activity Sheet
  2. Comparing Same Denominators - When two fractions share the same denominator, the one with the bigger numerator is always the superstar. It's like two soccer teams with the same number of players - more goals (numerator) wins the game! Twinkl Comparing Fractions Activity Sheet
  3. Finding Common Denominators - To compare fractions with different denominators, change them into the same playground by multiplying across. Line them up perfectly, and you can easily see which fraction takes the crown. Twinkl Comparing Fractions Activity Sheet
  4. Visual Models - Draw rectangles or circles and shade in parts to see which fraction covers more area. This colorful strategy turns abstract numbers into picture puzzles you can easily solve. MathBell Visual Fractions Guide
  5. Cross-Multiplication Trick - Multiply diagonally across each fraction (numerator of one times denominator of the other) and compare the products. The bigger product means the bigger fraction - easy peasy! YouveGotThisMath Cross-Multiplication Guide
  6. Decimal Conversion - Turn your fractions into decimals by dividing the numerator by the denominator for a quick size check. Larger decimal = larger fraction, and voilà - problem solved! YouveGotThisMath Decimal Conversion Guide
  7. Using Benchmark Fractions - Benchmarks like 1/2 make comparisons a breeze: is your fraction more or less than this magical midpoint? Knowing that 3/8 is shy of 1/2 while 5/8 is over the line instantly tells you which fraction is bigger. Twinkl Benchmark Fractions Worksheet
  8. Practice with Worksheets - Repetition is the secret sauce to fraction mastery: grab fun activities that challenge you at every step. The more you play with problems, the more confident you'll become. Twinkl Comparing Fractions Activity Sheet
  9. Equivalent Fractions - Spotting equivalent fractions (like 1/2 = 2/4 = 3/6) is like finding twins in disguise. Recognizing these copies helps you simplify and compare with superhero speed. Twinkl Equivalent Fractions Worksheet
  10. Stay Positive & Keep Going - Fraction mastery is a journey, and every little victory counts. Keep practicing, celebrate your progress, and remember: you've got this! Twinkl Practice Worksheet
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker