`2/5xx?xx`1`1/3`=`7/15`

Options

A. `5/6`
B. `1/8`
C. `1/3`
D. `7/8`

Answer

To solve the equation \( \frac{2}{5} \times ? \times \frac{4}{3} = \frac{7}{15} \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \frac{2}{5} \times ? \times \frac{4}{3} = \frac{7}{15} \]

### Step 2: Simplify the left side
First, we can simplify the left side of the equation. We can multiply the fractions:
\[ \frac{2 \times 4}{5 \times 3} \times ? = \frac{7}{15} \]
Calculating the multiplication gives us:
\[ \frac{8}{15} \times ? = \frac{7}{15} \]

### Step 3: Isolate the variable
Next, we isolate the variable \( ? \) by multiplying both sides of the equation by the reciprocal of \( \frac{8}{15} \):
\[ ? = \frac{7}{15} \div \frac{8}{15} \]
This can be rewritten as:
\[ ? = \frac{7}{15} \times \frac{15}{8} \]

### Step 4: Simplify the expression
Now, we can simplify the right side:
\[ ? = \frac{7 \times 15}{15 \times 8} \]
The \( 15 \) in the numerator and denominator cancels out:
\[ ? = \frac{7}{8} \]

### Step 5: Final answer
Thus, the value of \( ? \) is:
\[ ? = \frac{7}{8} \]