Add $$ \frac{5}{8}+\frac{4}{5} $$. Simplify the answer and write as a mixed number.

Question

UpStudy AI · Accepted Answer

To add the fractions $$\frac{5}{8}$$ and $$\frac{4}{5}$$ and express the result as a simplified mixed number, follow these steps:

1. **Find a Common Denominator:**
   
   The denominators are 8 and 5. The least common denominator (LCD) of 8 and 5 is 40.

2. **Convert Each Fraction:**
   
   $$
   \frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}
   $$
   
   $$
   \frac{4}{5} = \frac{4 \times 8}{5 \times 8} = \frac{32}{40}
   $$

3. **Add the Fractions:**
   
   $$
   \frac{25}{40} + \frac{32}{40} = \frac{57}{40}
   $$

4. **Simplify as a Mixed Number:**
   
   $$\frac{57}{40}$$ can be rewritten as:
   
   $$
   1 \frac{17}{40}
   $$
   
   This is because $$40$$ goes into $$57$$ once with a remainder of $$17$$.

**Final Answer:**
$$
\frac{5}{8} + \frac{4}{5} = 1\,\frac{17}{40}
$$
$$ \frac{5}{8} + \frac{4}{5} = 1\,\frac{17}{40} $$

Add . Simplify the answer and write as a mixed number.

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions