March 4th Math Presentation Fraction Word Problems Intro.

Fraction Word Problem Lesson Today

During this lesson, make sure to work out problems on scratch paper. Use the paper in your math notebook to work out the problems.

When I return, we will review some of these problems together for practice.

Simply do your best, and remember it is ok if you do not understand everything right away. I will be back to help you.

-Ms. Eason

Mastering Fraction Word Problems

• Addition, subtraction, multiplication, and division are the essential skills to tackle fraction word problems with confidence.
• These skills allow you to solve complex problems involving fractions.
• Understanding how to perform operations on fractions is crucial for success in math.

1. ​Read word problems carefully.

2. Identify the question

3. Identify any key words that tell you what operation to use.

4. Solve (SHOW YOUR WORK)

5. Ask yourself if your answer makes sense.

​Word Problem Basics

​Read the problem below carefully and look for key words.

Multiple Choice

What operation would be used to solve this problem?

• Addition

• Multiplication

• Subtraction

• Division

Open Ended

What key word did you notice in the problem to help you select that operation?

Review Fraction Subtraction (Unlike Denominators) Steps:

Write your fraction problem vertically to work it out.

• Step 1: Find a common denominator.

• Step 2: Rewrite the fractions with the common denominator.

• Step 3: Subtract the numerators.

• Step 4: Keep the common denominator.

• Step 5: Simplify, if needed.

Same Denominator

Trivia: When solving word problems involving fractions, it is important to convert the fractions to have the same denominator using the LCM. This allows for easier addition or comparison of the fractions. Remember, the LCM is the smallest multiple that two or more numbers have in common.

Simplify

Trivia: Simplifying fractions is an important step in solving word problems involving fractions. It helps in reducing the fractions to their simplest form, making calculations easier. Remember to cancel out common factors in the numerator and denominator. Example: Simplify 4/8 = 1/2.

• Step 1: Find the greatest common factor (GCF) of 4 and 8, which is 4.
• Step 2: Divide both the numerator and denominator by the GCF, resulting in 1/2.

Multiple Choice

Crystal had 3/4 cup of juice. She drank 1/4 cup. How much does she have left? Remember to simplify your answer if needed

• 1/2 cup

• 1/4 cup

• 3/4 cup

• 2/4 cup

Multiple Choice

What operation would be used to solve the problem: Ally ate 1/8 of the pizza and Shane ate 1/3 of the pizza. What fraction of the pizza did Ally and Shane eat all together?

• Addition

• Subtraction

• Multiplication

• Division

Fraction Addition Steps (Unlike Denominators):

• Step 1: Find the least common multiple (LCM) of the denominators.

• Step 2: Convert the fractions to have the same denominator using the LCM.

• Step 3: Add the numerators of the fractions together.

• Step 4: Simplify the resulting fraction, if necessary.

Multiple Choice

Solve $$\frac{1}{8}+\frac{1}{3}$$

Remember to simplify if needed

• 1/8
• 11/24

• 6/24

• 10/24

Open Ended

What operation would you use to solve the previous problem?

Multiplication of Fractions Steps:

• Turn any whole numbers into fractions, by putting them over 1

  Ex: 12 = 12/1

• Multiply straight across. Multiply your numerators and multiply your denominators.

• Simplify your answer if needed

• Remember Fractions are division Ex: 24/8 = 3

Multiple Choice

What is the result when you multiply 6 by 1/3?

• 2

• 1/2

• 3

• 1/3

​How much further, how many more, how much more are key words for subtraction.

Multiple Choice

Solve 2/3 - 1/4

• 5/12

• 3/4

• 6/12

• 1

​Think: You are adding 1/4 12 times. What is an operation we can use for repeated addition:
Multiplication!
Of means times
12 x 1/4

Total equals Addition!
Hint: when adding more than two fractions, all all your numerators and don't forget to add the whole numbers.
*You may need to convert or simplify.

*

Multiple Choice

How many total yards of fabric does Tasha have if she adds 4 1/4, 3 3/4, and 9 1/4 yards?

• 17 1/4

• 16 1/4

• 15 1/4

• 18 1/4

​*Have left = subtraction
3 1/2 - 1 3/4
*Remember with subtraction you may need to regroup and simplify

Multiple Choice

Beth had 3 1/2 cups of milk. She used 1 3/4 cups of the milk to bake a cake. How many cups of milk does Beth have left?

• 1 4/4

• 2 3/4

• 1 3/4

• 1 4/3

​3/5 OF 10 Fields Of means times
3/5 x 10

​Explanation

To find the remaining fraction of the candy, you represent the whole bag as the number 1. Since the teachers ate a fraction with a denominator of 3, it is helpful to write 1 as a fraction with that same denominator: 1 = 3/3

To find what is left, subtract the amount eaten from the total:

3/3 - 2/3

Because the denominators are the same, you simply subtract the numerators

while keeping the denominator the same.

Open Ended

The fifth-grade teachers all shared a bag of candy. They ate 2/3 of the bag. What fraction of the bag was left?