solve for x 4/7=x/56

1 answer

To solve the equation \( \frac{4}{7} = \frac{x}{56} \), you can cross-multiply to eliminate the fractions. Here’s how you can do it:

  1. Cross-multiply: \[ 4 \times 56 = 7 \times x \]

  2. Calculate \( 4 \times 56 \): \[ 4 \times 56 = 224 \]

  3. So now you have: \[ 224 = 7x \]

  4. To solve for \( x \), divide both sides by 7: \[ x = \frac{224}{7} \]

  5. Now, calculate \( \frac{224}{7} \): \[ x = 32 \]

Thus, the solution is: \[ x = 32 \]