State True or False:
`435-:(3xx4)=(435-:3)xx(435-:4)`

Answer

To determine whether the statement \( 435 \div (3 \times 4) = (435 \div 3) \times (435 \div 4) \) is true or false, we can evaluate both sides of the equation step by step.

### Step 1: Evaluate the Left-Hand Side (LHS)
The left-hand side of the equation is:
\[ LHS = 435 \div (3 \times 4) \]
First, calculate \( 3 \times 4 \):
\[ 3 \times 4 = 12 \]
Now substitute this back into the LHS:
\[ LHS = 435 \div 12 \]

### Step 2: Calculate \( 435 \div 12 \)
Now, we perform the division:
\[ 435 \div 12 = 36.25 \]
So,
\[ LHS = 36.25 \]

### Step 3: Evaluate the Right-Hand Side (RHS)
The right-hand side of the equation is:
\[ RHS = (435 \div 3) \times (435 \div 4) \]
First, calculate \( 435 \div 3 \):
\[ 435 \div 3 = 145 \]
Next, calculate \( 435 \div 4 \):
\[ 435 \div 4 = 108.75 \]
Now substitute these values back into the RHS:
\[ RHS = 145 \times 108.75 \]

### Step 4: Calculate \( 145 \times 108.75 \)
Now, we perform the multiplication:
\[ 145 \times 108.75 = 15788.75 \]
So,
\[ RHS = 15788.75 \]

### Step 5: Compare LHS and RHS
Now we compare the two results:
\[ LHS = 36.25 \quad \text{and} \quad RHS = 15788.75 \]
Since \( 36.25 \neq 15788.75 \), we conclude that:
\[ LHS \neq RHS \]

### Conclusion
Therefore, the statement \( 435 \div (3 \times 4) = (435 \div 3) \times (435 \div 4) \) is **False**.

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