Simplify the following expressions :
`3/7 xx 5/4`

Answer

To simplify the expression \( \frac{3}{7} \times \frac{5}{4} \), follow these steps:

### Step 1: Identify the fractions
We have two fractions: \( \frac{3}{7} \) and \( \frac{5}{4} \).

### Step 2: Multiply the numerators
Multiply the numerators of the fractions:
\[ 3 \times 5 = 15 \]

### Step 3: Multiply the denominators
Multiply the denominators of the fractions:
\[ 7 \times 4 = 28 \]

### Step 4: Write the result as a fraction
Combine the results from Step 2 and Step 3 to form a new fraction:
\[ \frac{15}{28} \]

### Step 5: Check for simplification
Now, check if the fraction \( \frac{15}{28} \) can be simplified. The numerator (15) and the denominator (28) do not have any common factors other than 1, so this fraction is already in its simplest form.

### Final Answer
The simplified expression is:
\[ \frac{15}{28} \]

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