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Converting time units

Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days)

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What a learner can do afterwards

  • Convert 3 hours 25 minutes to 205 minutes
  • A programme lasts 150 seconds: express in minutes and seconds
  • How many days are in 8 weeks and 3 days?

1 · Read

You already know how to change centimeters into meters and grams into kilograms. Time units work the same way. Each unit breaks into a fixed number of smaller units: 60 seconds make 1 minute, 60 minutes make 1 hour, 7 days make 1 week, and 12 months make 1 year.

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The short hand shows hours and the long hand shows minutes. This clock has moved 3 hours and 25 minutes, which you can turn into one number of minutes.
Try it together

To convert 3 hours 25 minutes into minutes, first turn the hours into minutes: 3 hours × 60 = 180 minutes. Then add the leftover 25 minutes: 180 + 25 = 205 minutes in total.

Try it together

To go the other way, change seconds into minutes. 150 seconds has two full 60s inside it: 150 ÷ 60 = 2, with 30 left over. That means 150 seconds is 2 minutes and 30 seconds.

0601201 min2 min+30 sec
Good to know

The same idea works for weeks and days. For 8 weeks and 3 days, multiply the weeks first: 8 × 7 = 56 days, then add the 3 extra days: 56 + 3 = 59 days.

Multiply to change a bigger time unit into a smaller one, divide to change a smaller unit into a bigger one, and always deal with the leftovers separately.

More to read

Converting units of time review (seconds, minutes, and hours)

Time units nest inside each other. 60 seconds make 1 minute. 60 minutes make 1 hour. 24 hours make 1 day. 7 days make 1 week. 52 weeks make about 1 year. To change a big unit into a small one, multiply. 3 hours 25 minutes is 3 x 60 + 25 = 205 minutes. 8 weeks 3 days is 8 x 7 + 3 = 59 days. To change a small unit into a big one, divide and keep the leftover. 150 seconds is 2 minutes with 30 seconds left over. Mixed amounts always need two moves: convert the big part, then add the small part.

Explore more

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

16 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Converting time units · Mathematics, ages 9 to 10 · LightMySky