Add & Subtract Fractions & Mixed Numbers

Addition and Subtraction of Fractions & Mixed Numbers

Key Concepts

• Objective: Solve problems involving addition and subtraction of fractions and mixed numbers.

  • Method: Find a common denominator before performing the operations.

  • Final Step: Always ensure to simplify the resulting fractions or mixed numbers.

Problems to Solve

1. Subtract the following fractions:

   • Expression: $a - b$

   • Steps include finding a common denominator, performing the operation, and simplifying.

2. Add the following fractions:

   • Expression: $c + d$

   • Similar steps as above: find a common denominator, compute, and simplify.

3. Add another fraction:

   • Expression: $e + f$

4. Subtract a different pair of fractions:

   • Expression: $g - h$

5. Add another set of fractions:

   • Expression: $i + j$

6. Subtract a new set of fractions:

   • Expression: $k - l$

7. Add another fraction:

   • Expression: $m + n$

8. Subtract a different fraction:

   • Expression: $o - p$

9. Subtract a new pair:

   • Expression: $q - r$

10. Add yet another fraction:

    • Expression: $s + t$

Word Problems

• Kyle and Gia's Pumpkins:

  • Kyle's pumpkin weight: 6 $\frac{4}{9}$ pounds.

  • Parker's school bag weight: 5 $\frac{3}{5}$ pounds.

  • Gia's pumpkin weight: 4 $\frac{2}{3}$ pounds.

  • Weight of Parker's books (specific weight to determine): After removing the books, the bag weighed 2 $\frac{1}{3}$ pounds.

Questions:

• What is the combined weight of Kyle’s and Gia’s pumpkins?

  • Combine the weights of Kyle's and Gia's pumpkins using addition, ensuring to convert them to a common denominator for addition.

• How many pounds did Parker’s books weigh?

  • Calculate the weight of the books using Parker's bag weight before and after removing books to find the difference.

Practice Exercise

• Name:

  • Complete the practice sheet on Add & Subtract Fractions & Mixed Numbers.