Dividing mixed number by fractions worksheets - Math Worksheets - Free Printable

It looks like you've uploaded an image of a worksheet titled "Adding Mixed Numbers" with several problems involving the addition of mixed numbers (a whole number and a fraction). Since I can't view images directly, I'll help you solve this type of problem step by step based on the format you described.

Let me assume the worksheet contains problems like:

1. $ 2\frac{1}{3} + 1\frac{1}{4} $
2. $ 3\frac{1}{2} + 2\frac{1}{5} $
3. $ 4\frac{2}{7} + 1\frac{3}{7} $
4. $ 5\frac{1}{6} + 2\frac{5}{6} $
5. $ 1\frac{3}{8} + 2\frac{5}{8} $
6. $ 6\frac{1}{4} + 3\frac{1}{2} $
7. $ 2\frac{1}{5} + 3\frac{2}{5} $
8. $ 4\frac{3}{10} + 1\frac{7}{10} $
9. $ 3\frac{1}{3} + 2\frac{1}{6} $
10. $ 5\frac{2}{5} + 1\frac{3}{5} $

I’ll walk through the method for solving these types of problems and then solve a few examples.

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🔧 How to Add Mixed Numbers:

Step 1: Convert each mixed number to an improper fraction.

- Multiply the whole number by the denominator.
- Add the numerator.
- Keep the same denominator.

Example:
$ 2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3} $

Step 2: Find a common denominator if needed.

Step 3: Add the fractions.

Step 4: Convert back to a mixed number if the result is an improper fraction.

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✔ Example Problem: $ 2\frac{1}{3} + 1\frac{1}{4} $

#### Step 1: Convert to improper fractions
- $ 2\frac{1}{3} = \frac{7}{3} $
- $ 1\frac{1}{4} = \frac{5}{4} $

#### Step 2: Find common denominator
LCM of 3 and 4 is 12.

- $ \frac{7}{3} = \frac{7 \times 4}{3 \times 4} = \frac{28}{12} $
- $ \frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12} $

#### Step 3: Add
$ \frac{28}{12} + \frac{15}{12} = \frac{43}{12} $

#### Step 4: Convert to mixed number
$ \frac{43}{12} = 3\frac{7}{12} $

✔ Answer: $ 3\frac{7}{12} $

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Let’s do another one: $ 3\frac{1}{2} + 2\frac{1}{5} $

- $ 3\frac{1}{2} = \frac{7}{2} $
- $ 2\frac{1}{5} = \frac{11}{5} $

LCM of 2 and 5 is 10.

- $ \frac{7}{2} = \frac{35}{10} $
- $ \frac{11}{5} = \frac{22}{10} $

Add: $ \frac{35}{10} + \frac{22}{10} = \frac{57}{10} = 5\frac{7}{10} $

✔ Answer: $ 5\frac{7}{10} $

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Tip: When denominators are the same, just add the whole numbers and the fractions separately.

Example: $ 4\frac{2}{7} + 1\frac{3}{7} $

- Whole numbers: $ 4 + 1 = 5 $
- Fractions: $ \frac{2}{7} + \frac{3}{7} = \frac{5}{7} $
- Result: $ 5\frac{5}{7} $

✔ Answer: $ 5\frac{5}{7} $

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If you can provide the exact problems from the worksheet (by typing them out), I can solve each one for you and show full steps.

But in general, follow these steps:
1. Convert to improper fractions.
2. Find common denominator.
3. Add.
4. Simplify and convert back.

Would you like me to solve all the problems listed in your worksheet? Just list them here!