4) Find $$ \frac{2}{3}-\frac{8}{9} $$ (1) How can you write the expression using a common denominator? $$ \frac{4}{6}-\frac{16}{6} \quad \frac{6}{9}-\frac{8}{9} $$ $$ \frac{2}{6}-\frac{8}{6} $$ 4 $$ -\frac{8}{9} $$

Question

UpStudy AI · Accepted Answer

To subtract the fractions $$ \frac{2}{3} $$ and $$ \frac{8}{9} $$, it's essential to have a common denominator. Here's how you can approach the problem:

### Step 1: Find a Common Denominator
The denominators here are 3 and 9. The least common denominator (LCD) for 3 and 9 is **9**.

### Step 2: Rewrite Each Fraction with the Common Denominator
- **Convert $$ \frac{2}{3} $$ to a denominator of 9:**
  
  $$
  \frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}
  $$
  
- **$$ \frac{8}{9} $$ already has the denominator 9, so it remains unchanged:**
  
  $$
  \frac{8}{9}
  $$

### Step 3: Perform the Subtraction
Now that both fractions have the same denominator, you can subtract the numerators:

$$
\frac{6}{9} - \frac{8}{9} = \frac{6 - 8}{9} = \frac{-2}{9}
$$

### Conclusion
The expression $$ \frac{2}{3} - \frac{8}{9} $$ with a common denominator is:

$$
\frac{6}{9} - \frac{8}{9} = \frac{-2}{9}
$$

**Final Answer:** $$ \frac{6}{9} - \frac{8}{9} = -\frac{2}{9} $$
To subtract $$ \frac{2}{3} $$ and $$ \frac{8}{9} $$, use a common denominator of 9. Convert $$ \frac{2}{3} $$ to $$ \frac{6}{9} $$ and subtract $$ \frac{8}{9} $$ to get $$ -\frac{2}{9} $$. Final Answer: $$ -\frac{2}{9} $$

Find
(1) How can you write the expression using a common denominator?

4

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Arithmetic Questions

Find (1) How can you write the expression using a common denominator? 4