World problem addition fraction with solution

Here's a word problem involving the addition of fractions, along with its solution:

### Word Problem:

John and Alice are baking cookies together. John uses **2/3** of a cup of sugar, and Alice uses **3/4** of a cup of sugar. How much sugar did they use in total?

### Solution:

To find out how much sugar they used in total, we need to add the two fractions: **2/3** and **3/4**.

#### Step 1: Find a common denominator
The denominators of the fractions are 3 and 4. The least common denominator (LCD) of 3 and 4 is 12.

#### Step 2: Rewrite the fractions with the common denominator
- For **2/3**, multiply both the numerator and the denominator by 4:  
  \[
  \frac{2}{3} \times \frac{4}{4} = \frac{8}{12}
  \]
- For **3/4**, multiply both the numerator and the denominator by 3:  
  \[
  \frac{3}{4} \times \frac{3}{3} = \frac{9}{12}
  \]

#### Step 3: Add the fractions
Now that both fractions have the same denominator, you can add them:
\[
\frac{8}{12} + \frac{9}{12} = \frac{17}{12}
\]

#### Step 4: Simplify the fraction (if needed)
\[
\frac{17}{12} \text{ is an improper fraction, which can be written as } 1 \frac{5}{12}.
\]

So, John and Alice used **1** and **5/12** cups of sugar in total.

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Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What if John used **1/2** a cup and Alice used **2/5** of a cup?
2. How would the problem change if John used **1 1/4** cups and Alice used **3/8** of a cup?
3. How do you add fractions with different denominators in general?
4. What happens if the result of adding two fractions is a mixed number?
5. How would you subtract fractions with different denominators?

**Tip:** When adding fractions, always find the least common denominator (LCD) to simplify calculations.

Solve a real-world problem involving the addition of fractions: John uses 2/3 cup of sugar, and Alice uses 3/4 cup. Learn step-by-step how to find the least common denominator, add the fractions, and convert the improper fraction to a mixed number. Perfect for Grades 5-7.

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