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
- Convert a mixed number or distribute its parts before multiplication.
- 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
A rectangular card is 2½ cm by 1⅓ cm. Find its area.
Why this math matters
Compare conversion and distribution as two valid ways to multiply mixed quantities. 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.
Multiply a mixed amount
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A rectangular card is 2½ cm by 1⅓ cm. Find its area.
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
2½ = 5/2; 1⅓ = 4/3
Each mixed number is renamed as a single fraction.
Connect the parts
(5/2)(4/3) = 20/6
Multiply numerator counts and denominator units.
State and check the result
Area = 10/3 = 3⅓ cm²
Area may be fractional even when its boundaries are exact.
The result
Area = 10/3 = 3⅓ cm²
Area may be fractional even when its boundaries are exact.
Common mistakes to catch
- Multiply the entire mixed number, including its fractional part.
- Use square units when multiplying two lengths.
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
Find 3 × 1¾.
Show a hint
Rename one and three fourths as seven fourths.
Reveal answer and explanation
5¼
3 × 7/4 = 21/4 = 5¼.
Practice 2
Why is 2½ × 2 not 4½?
Show a hint
The half is repeated twice too.
Reveal answer and explanation
The correct product is 5
2×2 + (1/2)×2 = 4 + 1.
Take the idea with you
Compare conversion and distribution as two valid ways to multiply mixed quantities.
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: Share a fractional amount equally
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