Evaluate: `(2)/(5) xx 4`

Options

A. `(9)/(5)`
B. `(8)/(5)`
C. `(6)/(5)`
D. `(5)/(8)`

Answer

To evaluate the expression \(\frac{2}{5} \times 4\), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \frac{2}{5} \times 4 \]

### Step 2: Convert the whole number to a fraction
We can express the whole number 4 as a fraction:
\[ 4 = \frac{4}{1} \]
So the expression now looks like:
\[ \frac{2}{5} \times \frac{4}{1} \]

### Step 3: Multiply the fractions
To multiply two fractions, we multiply the numerators together and the denominators together:
\[ \frac{2 \times 4}{5 \times 1} = \frac{8}{5} \]

### Step 4: Convert the improper fraction to a mixed number (if needed)
The fraction \(\frac{8}{5}\) is an improper fraction. We can convert it to a mixed number:
\[ 8 \div 5 = 1 \quad \text{(with a remainder of 3)} \]
So, \(\frac{8}{5} = 1 \frac{3}{5}\).

### Step 5: Convert to decimal (if needed)
If we want to express \(\frac{8}{5}\) as a decimal, we can divide 8 by 5:
\[ 8 \div 5 = 1.6 \]

### Final Answer
Thus, the value of \(\frac{2}{5} \times 4\) is:
\[ 1.6 \quad \text{or} \quad \frac{8}{5} \quad \text{or} \quad 1 \frac{3}{5} \]

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