Time Math Center

Clock + Math

Time Math Center

Learn the mathematics of clocks and time. Add and subtract time, find elapsed time, convert hours and minutes, calculate clock-hand angles, practice reading an analog clock, and understand how fractions, decimals and percentages connect to a day.

Elapsed Time Calculator

Find the time between two clock times, including overnight spans.

5 hours 30 minutes

If the end time is earlier than the start time, the calculator treats it as the following day.

Add or Subtract Time

Start with a clock time, then move forward or backward by hours and minutes.

1:15 PM

Clock Hand Angle

Find the smaller angle between the hour and minute hands. The hour hand moves continuously as the minutes pass.

75°

Formula: |30 × hour − 5.5 × minutes|, then use the smaller angle if the result is over 180°.

Interactive Clock Practice

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10:10

Hours, Minutes & Seconds Converter

Convert a quantity of time into equivalent units.

2.5 hours = 150 minutes = 9,000 seconds

Decimal Hours ↔ Hours:Minutes

Useful for timesheets, payroll and learning why 1.5 hours means 1 hour 30 minutes—not 1 hour 50 minutes.

1.75 hours = 1 hour 45 minutes

Why?

The decimal part is a fraction of 60 minutes. So 0.75 × 60 = 45 minutes.

12-Hour ↔ 24-Hour Time

19:05

Fractions & Percent of a Day

A day has 24 hours, 1,440 minutes and 86,400 seconds.

6 hours = 1/4 of a day = 25%

This connects clock math to fractions, ratios, decimals and percentages.

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