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Quizzes > High School Quizzes > Mathematics

15/4 Mixed Number Practice Quiz

Master mixed numbers with engaging practice exercises

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting 154 Mixed Number Magic, a math quiz for middle school students.

What is 15/4 expressed as a mixed number?
3 3/4
4 1/4
4 3/4
3 1/4
When you divide 15 by 4, the quotient is 3 with a remainder of 3. This remainder becomes the numerator of the fractional part, so the mixed number is 3 3/4.
Convert 11/3 to a mixed number.
4 1/3
3 2/3
3 1/3
2 2/3
Dividing 11 by 3 gives a quotient of 3 and a remainder of 2. Placing the remainder over the original denominator, the mixed number is 3 2/3.
What is the improper fraction form of the mixed number 2 1/5?
11/5
9/5
12/5
10/5
Multiply the whole number 2 by the denominator 5 to get 10 and add the numerator 1 to obtain 11. Therefore, the improper fraction is 11/5.
Convert the mixed number 4 2/3 to an improper fraction.
13/3
14/5
12/3
14/3
Multiply the whole number 4 by the denominator 3 to obtain 12, then add the numerator 2 to get 14. This makes the improper fraction 14/3.
What is the correct method to convert an improper fraction like 7/2 into a mixed number?
Multiply the numerator by the denominator and use the product as the whole number.
Divide the denominator by the numerator and use the result as the fractional part.
Divide the numerator by the denominator; the quotient is the whole number and the remainder over the denominator is the fractional part.
Subtract the denominator from the numerator until a whole number is reached.
Dividing the numerator by the denominator gives the whole number part. The remainder, placed over the original denominator, forms the fractional part, which is the standard conversion method.
What is the sum of 3 1/4 and 2 2/3 expressed as a mixed number?
5 11/12
6 1/12
5 7/12
5 1/12
Convert each mixed number to an improper fraction and use a common denominator to add them. The sum comes out to 71/12, which simplifies to 5 11/12.
Subtract 1 3/5 from 4 1/2 and express the answer as a mixed number.
2 4/10
2 9/10
2 1/10
3 1/10
Converting the mixed numbers to improper fractions or using a common denominator aids in subtraction. The calculation leads to the result of 29/10, which is equivalent to 2 9/10.
Multiply 2 1/2 by 1 1/4 and express the product as a mixed number.
3 1/8
2 1/8
3 1/4
3 2/8
Convert both mixed numbers to improper fractions: 2 1/2 becomes 5/2 and 1 1/4 becomes 5/4. Multiplying these yields 25/8, which can be converted back to the mixed number 3 1/8.
Divide 3 3/4 by 1 1/2 and express the quotient as a mixed number.
2 1/2
3 1/2
2 3/4
1 1/2
Express both mixed numbers as improper fractions: 3 3/4 is 15/4 and 1 1/2 is 3/2. Dividing by multiplying by the reciprocal gives 5/2, which is 2 1/2 as a mixed number.
Express 11/4 as a mixed number.
3 1/4
3 3/4
2 3/4
2 1/4
Divide 11 by 4 to get a quotient of 2 and a remainder of 3. This means the mixed number is 2 3/4.
Which improper fraction is equivalent to the mixed number 2 3/5?
11/5
13/5
12/5
14/5
Multiply the whole number 2 by the denominator 5 to get 10, then add the numerator 3 to arrive at 13. The improper fraction form of 2 3/5 is thus 13/5.
Add 2 2/3 and 3 1/3 and provide the answer as a mixed number or whole number.
5 2/3
5
6 1/3
6
Convert 2 2/3 and 3 1/3 to improper fractions to simplify the addition. The sum of these fractions equals 6, which is the correct answer.
Compare the mixed numbers 3 3/8 and 3 1/2. Which one is greater?
There is not enough information
They are equal
3 3/8
3 1/2
Converting the fractions to decimals shows that 3 3/8 is 3.375 and 3 1/2 is 3.5. Therefore, 3 1/2 is the larger number.
Convert the improper fraction 9/2 into a mixed number.
4 2/2
5 1/2
4
4 1/2
Divide 9 by 2 to get a quotient of 4 with a remainder of 1. The mixed number result is 4 1/2.
What is the result of subtracting 1/2 from 5/2, expressed as a mixed number?
1 1/2
2 1/2
2 1/4
2
Subtracting 1/2 from 5/2 gives 4/2, which simplifies to 2. The result is a whole number without a fractional part.
Evaluate the expression: (2 1/4 ÷ 1 1/2) + (3 2/3 - 1 1/3) and express your answer as a mixed number.
4 1/6
3 1/2
3 2/3
3 5/6
First, divide 2 1/4 by 1 1/2 by converting to improper fractions to get 3/2, which is 1 1/2. Then subtract 1 1/3 from 3 2/3 to get 7/3 (or 2 1/3) and add both results to obtain 23/6, which converts to 3 5/6.
Simplify and express as a mixed number: (7/3 + 5/3) ÷ (1 1/6).
3 1/7
3 4/7
4 3/7
3 3/7
Adding 7/3 and 5/3 results in 12/3, which simplifies to 4. Converting 1 1/6 to an improper fraction yields 7/6. Dividing 4 by 7/6 gives 24/7, or 3 3/7 as a mixed number.
Solve for x: x + 1 2/5 = 3 3/5, and express x as a mixed number.
2 2/5
2 1/5
3 1/5
1 3/5
Subtract 1 2/5 from 3 3/5 by handling the whole numbers and fractions separately. This calculation yields x = 2 1/5.
A recipe calls for 4 1/2 cups of flour. If you make 3/4 of the recipe, how many cups of flour do you need? Express your answer as a mixed number.
3 1/8
3 2/8
3 3/8
3 1/2
First, convert 4 1/2 to an improper fraction (9/2) and then multiply by 3/4. The product is 27/8, which simplifies to the mixed number 3 3/8.
Which mixed number is equivalent to the improper fraction 37/8?
4 3/8
5 1/8
4 5/8
4 1/8
Divide 37 by 8 to obtain a quotient of 4 with a remainder of 5. This means the mixed number is 4 5/8.
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Study Outcomes

  1. Identify the components of improper fractions and mixed numbers.
  2. Convert improper fractions to mixed numbers accurately.
  3. Apply mixed number conversion techniques in practical scenarios.
  4. Analyze and solve problems involving fraction-to-mixed number transformations.
  5. Evaluate mathematical reasoning when working with mixed numbers.

Quiz: What is 15/4 as a Mixed Number? Cheat Sheet

  1. Spot the Difference: Improper Fractions vs Mixed Numbers - Improper fractions have a numerator larger than the denominator (think 7/4), while mixed numbers combine a whole number with a proper fraction (like 1 3/4). Mastering this distinction is the first step to flexing your fraction skills and conquering tougher problems with confidence. splashlearn.com
  2. Convert Improper to Mixed - Divide the numerator by the denominator to find the whole number, then use the remainder as the new numerator over the same denominator. This quick trick transforms 11/4 into the friendly mixed number 2 3/4 in a snap. geeksforgeeks.org
  3. Flip It: Mixed to Improper - Multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator. You'll see 2 3/4 morph into 11/4 instantly, making addition and subtraction a breeze. onlinemathlearning.com
  4. See It with Visual Aids - Grab fraction circles, bars, or even pizza templates to watch these conversions come alive. Visual models lock in your understanding and make abstract numbers feel deliciously real. symbolab.com
  5. Understand Equivalence - An improper fraction and its mixed number cousin represent the exact same value - just dressed differently. Once you grasp this, switching back and forth feels as natural as changing outfits. splashlearn.com
  6. Add & Subtract with Ease - Before you start adding or subtracting mixed numbers, convert them to improper fractions, calculate, then switch back if you like. This strategy keeps your math neat and avoids messy mistakes. splashlearn.com
  7. Simplify Every Time - Always reduce your fractional parts to simplest form after conversion - common factors begone! Simplifying keeps your answers looking sharp and your brain free of extra work. mathematics-monster.com
  8. Relate to Real Life - Imagine slicing pizzas, cakes, or candy bars to see these fractions in action. Turning abstract numbers into tasty treats makes practice fun and memorable. onlinemathlearning.com
  9. Use Interactive Tools - Online games and fraction calculators let you drag, drop, and play with improper fractions and mixed numbers until they stick. Interactive practice is like a secret weapon for conquering tricky concepts. symbolab.com
  10. Practice Consistently - Work through different examples daily, mixing in word problems and quizzes. Regular practice cements your skills and transforms you from fraction novice to mixed-number master. emathhelp.net
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