7. $$ \frac{8}{9}-\frac{2}{4}= $$

Question

UpStudy AI · Accepted Answer

To solve the expression:

$$ \frac{8}{9} - \frac{2}{4} $$

**Step 1: Simplify the Fractions**

First, simplify $$\frac{2}{4}$$:

$$ \frac{2}{4} = \frac{1}{2} $$

So the expression becomes:

$$ \frac{8}{9} - \frac{1}{2} $$

**Step 2: Find a Common Denominator**

The denominators are 9 and 2. The least common denominator (LCD) of 9 and 2 is 18.

**Step 3: Convert Fractions to the Common Denominator**

Convert each fraction to have the denominator of 18:

$$ \frac{8}{9} = \frac{8 \times 2}{9 \times 2} = \frac{16}{18} $$

$$ \frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18} $$

**Step 4: Subtract the Fractions**

Now subtract the two fractions:

$$ \frac{16}{18} - \frac{9}{18} = \frac{16 - 9}{18} = \frac{7}{18} $$

**Final Answer:**

$$ \frac{7}{18} $$
$$ \frac{7}{18} $$

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