9. $$ 4 \frac{2}{4}-2 \frac{5}{9}= $$

Question

UpStudy AI · Accepted Answer

To solve the expression:

$$ 4 \frac{2}{4} - 2 \frac{5}{9} $$

**Step 1: Convert Mixed Numbers to Improper Fractions**

1. **Convert $$ 4 \frac{2}{4} $$:**
   $$
   4 \frac{2}{4} = 4 + \frac{2}{4} = 4 + \frac{1}{2} = \frac{9}{2}
   $$

2. **Convert $$ 2 \frac{5}{9} $$:**
   $$
   2 \frac{5}{9} = 2 + \frac{5}{9} = \frac{23}{9}
   $$

**Step 2: Subtract the Fractions**

$$
\frac{9}{2} - \frac{23}{9}
$$

To subtract these fractions, find a common denominator. The least common denominator (LCD) of 2 and 9 is 18.

$$
\frac{9}{2} = \frac{81}{18} \quad \text{and} \quad \frac{23}{9} = \frac{46}{18}
$$

$$
\frac{81}{18} - \frac{46}{18} = \frac{35}{18}
$$

**Step 3: Simplify the Result**

$$
\frac{35}{18} = 1 \frac{17}{18}
$$

**Final Answer:**

$$
4 \frac{2}{4} - 2 \frac{5}{9} = 1 \frac{17}{18}
$$
$$ 1 \frac{17}{18} $$

9. \( 4 \frac{2}{4}-2 \frac{5}{9}= \)