solve real world problems that require the adding or subtracting of mixed numbers

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Add & subtract mixed numbers

Mixed numbers word problems.

These grade 5 word problems involve adding and subtracting mixed numbers with both like and unlike denominators and sometimes more than two terms .  Some problems include superfluous data, forcing students to read and think about the questions, rather than simply recognizing a pattern to the solutions.

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adding and subtracting mixed numbers word problems

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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

Study concepts, example questions & explanations for common core: 5th grade math, all common core: 5th grade math resources, example questions, example question #1 : solve real world problems involving multiplication of fractions and mixed numbers: ccss.math.content.5.nf.b.6.

Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #5 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #6 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

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Course: 4th grade   >   Unit 8

• Fraction word problem: lizard
• Subtracting mixed numbers with like denominators word problem

Add and subtract mixed numbers word problems (like denominators)

• Your answer should be
• a proper fraction, like 1 / 2 ‍   or 6 / 10 ‍  
• a mixed number, like 1   3 / 4 ‍  

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Journey into Mixed Numbers: How to Solve Addition and Subtraction Word Problems

It's time to take our understanding of mixed numbers to the next level. You might remember that a mixed number is a whole number paired with a proper fraction. Today, we're focusing on word problems involving the addition and subtraction of mixed numbers. Let's dive in!

1. Adding and Subtracting Mixed Numbers: The Basics

Adding and subtracting mixed numbers might seem complex because it involves both whole numbers and fractions. But don’t worry, once you understand the steps, it will be a piece of cake.

Step-by-Step Guide: Adding and Subtracting Mixed Numbers in Word Problems

Step 1: identify the problem.

First, read the word problem carefully to understand what it’s asking. Identify the mixed numbers you need to add or subtract.

Step 2: Convert to Improper Fractions (if needed)

In some cases, it might be easier to convert mixed numbers to improper fractions before adding or subtracting. To do this, multiply the whole number by the denominator, then add the numerator.

Step 3: Add or Subtract the Fractions

To add or subtract fractions, you need a common denominator. If the denominators are already the same, you can add or subtract the numerators directly. If not, find the least common multiple of the denominators and use it to adjust the fractions before adding or subtracting.

Step 4: Simplify the Fraction

After you’ve done the operation, make sure to simplify the fraction if necessary. This could involve reducing the fraction or converting it back into a mixed number.

Step 5: Write the Answer

Finally, write down your answer, making sure it answers the question asked in the word problem.

Let’s look at an example:

John baked \(3\frac{1}{2}\) trays of cookies, and his sister Susan baked \(2\frac{1}{3}\) trays. How many trays of cookies do they have in total?

• Identify the problem: we need to add \(3\frac{1}{2}\) and \(2\frac{1}{3}\).
• Convert to improper fractions: \(3\frac{1}{2} = \frac{7}{2}\) and \(2\frac{1}{3} = \frac{7}{3}\).
• Find a common denominator and add the fractions: \(\frac{21}{6} + \frac{14}{6} = \frac{35}{6}\).
• Simplify the fraction: \(\frac{35}{6} = 5\frac{5}{6}\).
• Write the answer: John and Susan have baked \(5\frac{5}{6}\) trays of cookies in total.

And there you have it! With practice, you’ll get comfortable with adding and subtracting mixed numbers in word problems. Remember, the more you practice, the easier it will become!

by: Effortless Math Team about 5 months ago (category: Articles )

Effortless Math Team

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