`(5)/(7)` of a number is `(2)/(3)` . What is the number ?
A)`(15)/(14)`
B)`(15)/(7)`
C)`(7)/(15)`
D)`(14)/(15)`

Options

A. `(15)/(14)`
B. `(15)/(7)`
C. `(7)/(15)`
D. `(14)/(15)`

Answer

To solve the problem, we need to find the number \( x \) such that \( \frac{5}{7} \) of \( x \) is equal to \( \frac{2}{3} \).

### Step-by-step Solution:

1. **Set up the equation**:
We start by expressing the relationship given in the problem. We can write:
\[ \frac{5}{7} \times x = \frac{2}{3} \]

2. **Isolate \( x \)**:
To find \( x \), we can multiply both sides of the equation by the reciprocal of \( \frac{5}{7} \), which is \( \frac{7}{5} \):
\[ x = \frac{2}{3} \times \frac{7}{5} \]

3. **Multiply the fractions**:
Now, we multiply the fractions on the right side:
\[ x = \frac{2 \times 7}{3 \times 5} = \frac{14}{15} \]

4. **Final answer**:
Thus, the required number \( x \) is:
\[ x = \frac{14}{15} \]

### Conclusion:
The answer is \( \frac{14}{15} \), which corresponds to option D.