3. A patient was supposed to take 560 mg of medicine but took only 420 mg . What percent of the medicin did the patient take?

To find the percentage of medicine the patient took, we can use the formula: \[ \text{Percentage} = \left( \frac{\text{Amount taken}}{\text{Total amount prescribed}} \right) \times 100\% \] Given: - Total amount prescribed = 560 mg - Amount taken = 420 mg Substitute the values into the formula: \[ \text{Percentage} = \left( \frac{420}{560} \right) \times 100\% \] Now, we can calculate the percentage. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{420}{560}\right)\times 100\) - step1: Reduce the fraction: \(\frac{3}{4}\times 100\) - step2: Reduce the numbers: \(3\times 25\) - step3: Multiply the numbers: \(75\)