`2/5 xx 5(1/5)` is equal to:

Options

A. `26/25`
B. `52/25`
C. `2/5`
D. 6

Answer

To solve the expression \( \frac{2}{5} \times 5\left(1\frac{1}{5}\right) \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 1\frac{1}{5} \) can be converted to an improper fraction.

To convert \( 1\frac{1}{5} \):
- Multiply the whole number (1) by the denominator (5): \( 1 \times 5 = 5 \).
- Add the numerator (1): \( 5 + 1 = 6 \).
- Place this over the denominator (5): \( \frac{6}{5} \).

So, \( 1\frac{1}{5} = \frac{6}{5} \).

### Step 2: Rewrite the expression
Now, we rewrite the original expression using the improper fraction:
\[ \frac{2}{5} \times 5 \times \frac{6}{5} \]

### Step 3: Simplify the expression
We can simplify the expression step by step. First, we can multiply \( 5 \) and \( \frac{6}{5} \):
\[ 5 \times \frac{6}{5} = \frac{5 \times 6}{5} = \frac{30}{5} = 6 \]

Now, we substitute this back into our expression:
\[ \frac{2}{5} \times 6 \]

### Step 4: Multiply the fractions
Now we multiply \( \frac{2}{5} \) by \( 6 \):
\[ \frac{2}{5} \times 6 = \frac{2 \times 6}{5} = \frac{12}{5} \]

### Step 5: Final answer
Thus, the final answer is:
\[ \frac{12}{5} \]