Answer :
To solve the equation \(\frac{x}{3} = 15\), we need to isolate \(x\). Here is a detailed, step-by-step solution:
1. Understand the Equation:
- The equation \(\frac{x}{3} = 15\) indicates that \(x\) divided by 3 equals 15.
2. Identify the Inverse Operation:
- To isolate \(x\), we need to undo the division by 3. The inverse operation of division is multiplication.
3. Apply the Inverse Operation:
- Multiply both sides of the equation by 3 to cancel out the division:
[tex]\[ \frac{x}{3} \times 3 = 15 \times 3 \][/tex]
4. Simplify the Equation:
- On the left side, \(\frac{x}{3} \times 3\) simplifies to \(x\) (since \(\frac{a}{b} \times b = a\)).
- On the right side, \(15 \times 3 = 45\).
5. Solve for \(x\):
- Thus, \(x = 45\).
Hence, the operation that should be used to solve \(\frac{x}{3}=15\) is multiplication by 3.
The corresponding choice is:
[tex]\[ \times 3 \][/tex]
Therefore, the correct answer is:
[tex]\[ \times 3 \][/tex]
1. Understand the Equation:
- The equation \(\frac{x}{3} = 15\) indicates that \(x\) divided by 3 equals 15.
2. Identify the Inverse Operation:
- To isolate \(x\), we need to undo the division by 3. The inverse operation of division is multiplication.
3. Apply the Inverse Operation:
- Multiply both sides of the equation by 3 to cancel out the division:
[tex]\[ \frac{x}{3} \times 3 = 15 \times 3 \][/tex]
4. Simplify the Equation:
- On the left side, \(\frac{x}{3} \times 3\) simplifies to \(x\) (since \(\frac{a}{b} \times b = a\)).
- On the right side, \(15 \times 3 = 45\).
5. Solve for \(x\):
- Thus, \(x = 45\).
Hence, the operation that should be used to solve \(\frac{x}{3}=15\) is multiplication by 3.
The corresponding choice is:
[tex]\[ \times 3 \][/tex]
Therefore, the correct answer is:
[tex]\[ \times 3 \][/tex]
