Evaluate: `4 xx (9)/(5)`

Options

A. `7 (2)/(5)`
B. `7 (1)/(6)`
C. `7 (1)/(5)`
D. `6 (1)/(5)`

Answer

To evaluate the expression \( 4 \times \frac{9}{5} \), follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ 4 \times \frac{9}{5} \]

### Step 2: Convert the whole number to a fraction
We can express the whole number 4 as a fraction:
\[ \frac{4}{1} \times \frac{9}{5} \]

### Step 3: Multiply the fractions
Now, we multiply the numerators and the denominators:
\[ \frac{4 \times 9}{1 \times 5} = \frac{36}{5} \]

### Step 4: Convert the improper fraction to a mixed number (if needed)
Next, we can convert the improper fraction \( \frac{36}{5} \) to a mixed number:
- Divide 36 by 5, which gives us 7 with a remainder of 1.
- This can be written as:
\[ 7 \frac{1}{5} \]

### Step 5: Convert to decimal (if needed)
Alternatively, we can convert \( \frac{36}{5} \) to a decimal by performing the division:
\[ 36 \div 5 = 7.2 \]

### Final Answer
Thus, the evaluated result of \( 4 \times \frac{9}{5} \) is:
\[ 7.2 \]

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