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 4 chapters and video availability01 · Read and understand
What you will learn
- Multiply a fraction by a whole number as repeated addition.
- Explain your method and check what the result means in the stated situation.
Before you start
Multiplication and division facts, simple fractions, place value, and basic length and area measurement.
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
Each of 5 small bottles holds 3/4 L. What total volume?
Why this math matters
Scale a fixed fractional serving or material length by a whole number of copies. 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.
Repeat a fractional amount
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Each of 5 small bottles holds 3/4 L. What total volume?
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
3/4 + 3/4 + 3/4 + 3/4 + 3/4
There are five equal bottle amounts.
Connect the parts
5 × 3 = 15 quarter-litres
Multiply the count of fractional pieces.
State and check the result
5 × 3/4 = 15/4 = 3¾ L
Twelve fourths make three litres, leaving three fourths.
The result
5 × 3/4 = 15/4 = 3¾ L
Twelve fourths make three litres, leaving three fourths.
Common mistakes to catch
- A whole-number multiplier repeats the fraction.
- Do not multiply the denominator when counting repeated copies.
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
Six ribbons are each 2/3 m. What total?
Show a hint
Count twelve thirds.
Reveal answer and explanation
4 m
6 × 2/3 = 12/3 = 4.
Practice 2
Does 4 × 1/5 mean four fifths or one twentieth?
Show a hint
Repeat the one-fifth piece four times.
Reveal answer and explanation
Four fifths
The piece size stays one fifth; its count becomes four.
Take the idea with you
Scale a fixed fractional serving or material length by a whole number of copies.
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: Connect decimal places to fractions
Completion is your own study record, not a test score. It stays in this browser, does not sync to another device, and can be removed by clearing browser data.