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How do I get the percentage for this,by steps

Mathematics

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Step-by-step solution

4 steps

Here's how to calculate the percentage based on the provided record sheet:

  1. Identify the total actual attendance and the total possible attendance.

    From the record sheet:

    • Actual attendance (M Total) for the week = 56
    • Number of students on roll = 6 Boys + 9 Girls = 15 students
    • Number of days recorded = 5 (Monday to Friday)
    • Total possible attendance = Number of students ×\times Number of days
    Total possible attendance=15×5=75\text{Total possible attendance} = 15 \times 5 = 75
  2. Set up the fraction for the attendance.

    The attendance percentage is calculated as the ratio of actual attendance to possible attendance.

    Attendance Fraction=Actual AttendancePossible Attendance=5675\text{Attendance Fraction} = \frac{\text{Actual Attendance}}{\text{Possible Attendance}} = \frac{56}{75}
  3. Convert the fraction to a percentage.

    Multiply the fraction by 100%100\%.

    Attendance Percentage=5675×100%\text{Attendance Percentage} = \frac{56}{75} \times 100\%
  4. Calculate the percentage.

    Attendance Percentage=560075%\text{Attendance Percentage} = \frac{5600}{75}\%

    To simplify, divide both the numerator and denominator by their greatest common divisor, which is 25.

    Attendance Percentage=5600÷2575÷25%=2243%\text{Attendance Percentage} = \frac{5600 \div 25}{75 \div 25}\% = \frac{224}{3}\%

    Now, perform the division:

    Attendance Percentage=74.666...%\text{Attendance Percentage} = 74.666...\%

    Rounding to two decimal places:

    Attendance Percentage=74.67%\text{Attendance Percentage} = \boxed{\text{74.67\%}}
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