Chelsie saves 1/5 of her allowance and spends 2/ 3of her allowance at the mall. What fraction of her allowance remains?

To determine what fraction of Chelsie's allowance remains, we need to calculate the total fraction she has already used (saved and spent) and subtract this from her total allowance.

1. **Fraction saved:**  
   Chelsie saves $\frac{1}{5}$ of her allowance.

2. **Fraction spent:**  
   Chelsie spends $\frac{2}{3}$ of her allowance.

3. **Total fraction used:**  
   To find the total fraction of her allowance that has been used, we add the fractions saved and spent:

   \[
   \text{Total fraction used} = \frac{1}{5} + \frac{2}{3}
   \]

4. **Finding a common denominator:**  
   To add these fractions, we need a common denominator. The least common multiple (LCM) of 5 and 3 is 15.

   Converting each fraction to have a denominator of 15:
   \[
   \frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}
   \]
   \[
   \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
   \]

5. **Adding the fractions:**  
   Now, add the fractions:
   \[
   \frac{3}{15} + \frac{10}{15} = \frac{13}{15}
   \]

   So, Chelsie has used $\frac{13}{15}$ of her allowance.

6. **Finding the remaining fraction:**  
   The fraction of her allowance that remains is what she did not use:
   \[
   1 - \frac{13}{15} = \frac{15}{15} - \frac{13}{15} = \frac{2}{15}
   \]

Therefore, **$\frac{2}{15}$ of Chelsie's allowance remains**.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. If Chelsie's allowance is $45, how much money does she have left after her savings and spending?
2. What percentage of Chelsie's allowance does she save and spend?
3. If Chelsie decides to save more and spends less, how does that change the remaining fraction of her allowance?
4. How much does Chelsie need to save to have $\frac{1}{3}$ of her allowance remaining?
5. If Chelsie receives a 10% increase in her allowance, how does the remaining amount change?

**Tip:** When working with fractions, finding a common denominator is essential for performing addition or subtraction.

Discover how to calculate the fraction of Chelsie's allowance remaining after saving and spending. Step-by-step solution with fractions involved: $\frac{1}{5}$ saved and $\frac{2}{3}$ spent. Suitable for Grades 4-6.

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