Learn with Amar
Teaching video
A teaching recording for this chapter has not been published yet. Start with the worked example below and explore the related animations where available.
Grade 5 chapters and video availability01 · Read and understand
What you will learn
- Use quotient and remainder to separate complete wholes from a fraction.
- 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
Write 17/5 as a mixed number.
Why this math matters
Choose whichever equivalent fraction form makes a measurement or computation clearer. 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.
Move between fraction and mixed-number forms
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Write 17/5 as a mixed number.
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
17 ÷ 5 = 3 remainder 2
Three complete groups of five fifths use fifteen fifths.
Connect the parts
17/5 = 15/5 + 2/5
Separate complete wholes from the remaining pieces.
State and check the result
17/5 = 3⅖
The remainder keeps the original fifth-sized unit.
The result
17/5 = 3⅖
The remainder keeps the original fifth-sized unit.
Common mistakes to catch
- The remainder becomes the numerator, not the denominator.
- Mixed and improper forms name the same value.
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
Write 4⅔ as one fraction.
Show a hint
Four wholes contain twelve thirds.
Reveal answer and explanation
14/3
12/3 + 2/3 = 14/3.
Practice 2
Why is 17/5 not 3⅔?
Show a hint
The leftover pieces are fifths.
Reveal answer and explanation
The denominator stays 5
Division leaves two fifth-sized pieces, not two thirds.
Take the idea with you
Choose whichever equivalent fraction form makes a measurement or computation clearer.
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: Read decimal thousandths
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