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Hours to Decimal worksheet

Grades 5–6 · CCSS 5.MD.A.1

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Convert: Decimal → hours and minutes
    • Decimal hours: 8 h

    Find: Hours and minutes

  2. Problem 2.
    • Convert: Hours and minutes → decimal
    • Hours: 8 h
    • Minutes: 38 min

    Find: Decimal hours

  3. Problem 3.
    • Convert: Hours and minutes → decimal
    • Hours: 5 h
    • Minutes: 41 min

    Find: Decimal hours

  4. Problem 4.
    • Convert: Hours and minutes → decimal
    • Hours: 8 h
    • Minutes: 54 min

    Find: Decimal hours

  5. Problem 5.
    • Convert: Decimal → hours and minutes
    • Decimal hours: 10 h

    Find: Hours and minutes

  6. Problem 6.
    • Convert: Decimal → hours and minutes
    • Decimal hours: 6.2 h

    Find: Hours and minutes

  7. Problem 7.
    • Convert: Hours and minutes → decimal
    • Hours: 7 h
    • Minutes: 46 min

    Find: Decimal hours

  8. Problem 8.
    • Convert: Decimal → hours and minutes
    • Decimal hours: 7.5 h

    Find: Hours and minutes

  9. Problem 9.
    • Convert: Decimal → hours and minutes
    • Decimal hours: 11 h

    Find: Hours and minutes

  10. Problem 10.
    • Convert: Decimal → hours and minutes
    • Decimal hours: 6.6 h

    Find: Hours and minutes

Answer key: Hours to Decimal worksheet

  1. 1. Hours and minutes: 8 h 0 min

    1. The whole number before the decimal point is the full hours

      8 h=8+0
    2. Multiply the part after the decimal point by 60, since an hour has 60 minutes

      0×60=0 min
    3. Put the parts together

      8 h=8 h 0 min
  2. 2. Decimal hours: 8.63 h

    1. Each minute is 1/60 of an hour, so divide the minutes by 60

      3860=0.633333
    2. Add that part of an hour to the whole hours

      8+3860=8.633333
    3. Round to two decimal places, as most timesheets and payroll systems expect

      8.633333=8.63
    4. Here is the exact decimal, before any rounding

      8 h 38 min → =8.6333333333
  3. 3. Decimal hours: 5.68 h

    1. Each minute is 1/60 of an hour, so divide the minutes by 60

      4160=0.683333
    2. Add that part of an hour to the whole hours

      5+4160=5.683333
    3. Round to two decimal places, as most timesheets and payroll systems expect

      5.683333=5.68
    4. Here is the exact decimal, before any rounding

      5 h 41 min → =5.6833333333
  4. 4. Decimal hours: 8.9 h

    1. Each minute is 1/60 of an hour, so divide the minutes by 60

      5460=0.9
    2. Add that part of an hour to the whole hours

      8+5460=8.9
    3. Round to two decimal places, as most timesheets and payroll systems expect

      8.9=8.9
    4. Here is the exact decimal, before any rounding

      8 h 54 min → =8.9
  5. 5. Hours and minutes: 10 h 0 min

    1. The whole number before the decimal point is the full hours

      10 h=10+0
    2. Multiply the part after the decimal point by 60, since an hour has 60 minutes

      0×60=0 min
    3. Put the parts together

      10 h=10 h 0 min
  6. 6. Hours and minutes: 6 h 12 min

    1. The whole number before the decimal point is the full hours

      6.2 h=6+0.2
    2. Multiply the part after the decimal point by 60, since an hour has 60 minutes

      0.2×60=12 min
    3. Put the parts together

      6.2 h=6 h 12 min
  7. 7. Decimal hours: 7.77 h

    1. Each minute is 1/60 of an hour, so divide the minutes by 60

      4660=0.766667
    2. Add that part of an hour to the whole hours

      7+4660=7.766667
    3. Round to two decimal places, as most timesheets and payroll systems expect

      7.766667=7.77
    4. Here is the exact decimal, before any rounding

      7 h 46 min → =7.7666666667
  8. 8. Hours and minutes: 7 h 30 min

    1. The whole number before the decimal point is the full hours

      7.5 h=7+0.5
    2. Multiply the part after the decimal point by 60, since an hour has 60 minutes

      0.5×60=30 min
    3. Put the parts together

      7.5 h=7 h 30 min
  9. 9. Hours and minutes: 11 h 0 min

    1. The whole number before the decimal point is the full hours

      11 h=11+0
    2. Multiply the part after the decimal point by 60, since an hour has 60 minutes

      0×60=0 min
    3. Put the parts together

      11 h=11 h 0 min
  10. 10. Hours and minutes: 6 h 36 min

    1. The whole number before the decimal point is the full hours

      6.6 h=6+0.6
    2. Multiply the part after the decimal point by 60, since an hour has 60 minutes

      0.6×60=36 min
    3. Put the parts together

      6.6 h=6 h 36 min