Learn with Amar
Teaching video
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Grade 5 chapters and video availability01 · Read and understand
What you will learn
- Divide a fraction by a positive whole number.
- Explain your method and check what the result means in the stated situation.
Before you start
Multi-digit operations, equivalent fractions, decimal place value, and rectangular area.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
Three friends share 3/4 L of juice equally. How much does each receive?
Why this math matters
Split a fractional supply into equal smaller portions. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.
Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.
Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
Share a fractional amount equally
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Three friends share 3/4 L of juice equally. How much does each receive?
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
Total = 3/4 L; groups = 3
The quotient is the amount per friend.
Connect the parts
Three quarter-litres shared among three
Give each friend one of the three equal quarter-litres.
State and check the result
3/4 ÷ 3 = 1/4 L each
Three shares of one quarter reconstruct the total.
The result
3/4 ÷ 3 = 1/4 L each
Three shares of one quarter reconstruct the total.
Common mistakes to catch
- The divisor counts shares; it does not change the total to a whole unit.
- Multiply a proposed share by the group count to check it.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
Share 2/3 m of ribbon equally into four pieces.
Show a hint
Take one fourth of the total.
Reveal answer and explanation
1/6 m each
(2/3) × (1/4) = 2/12 = 1/6.
Practice 2
Does dividing 1/2 by 2 produce 1?
Show a hint
Each of two shares must be smaller than the half.
Reveal answer and explanation
No; it produces 1/4
Two quarter-units combine into one half.
Take the idea with you
Split a fractional supply into equal smaller portions.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Count fractional portions in a whole
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