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Fractions and Time Timetables

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Fractions and Time Timetables

Use the timetable and visual models to solve each problem. Show your thinking where asked. Remember: 1 hour = 60 minutes.

A day in fractions

A full day has 24 hours. Use the fraction bars to help you think about equal parts of the day.

1.A day is split into 4 equal parts. How many hours are in each quarter of a day?

4 hours
6 hours
8 hours
12 hours

2.A quarter of a day is 6 hours. How many hours are in three quarters of a day? Show a calculation.

3.Which fraction represents 12 hours of a 24-hour day?

Rimu Park activity timetable

A group plans a 4-hour visit. Their timetable is shown below. Times are in the afternoon.

Activity

Start

Finish

Nature trail

1:00 pm

2:00 pm

Picnic break

2:00 pm

2:30 pm

Pond survey

2:30 pm

3:30 pm

Play time

3:30 pm

5:00 pm

4.How long is the picnic break? What fraction of the full 4-hour visit is it?

5.What fraction of the visit is spent on the nature trail?

6.What fraction of the visit is spent on the pond survey and play time altogether?

Plan and solve

Use the timetable and equal-part models to explain how fractions describe time.

7.The group has 2 hours of free time after the visit. They spend 1/4 of it choosing and packing up equipment. How many minutes does that take?

8.The group finishes the nature trail at 2:00 pm. They spend half an hour at the picnic, then begin the pond survey. What time does the pond survey start?

9.The group wants to make the picnic break 1/4 of the visit instead of 1/8. How long would that break be, and how much longer is it than the current break?

10.Ari says, “If an activity takes 1/2 of a 4-hour visit, it lasts 2 hours.” Is Ari correct? Explain using a calculation.