Written methods with fractions and decimals
A recipe that needs 2 3/4 cups of flour and a bill split three ways both come down to the same four operations you already know — just with fractions and decimals in the mix.
Part of your national curriculum
- Number: Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers
Lesson overview
What you'll learn in this lesson
Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers
Key learning points
- • Adding mixed numbers
- • Multiplying fractions
- • Decimal division
This lesson at a glance
- 28 minutes
- 16 parts to scroll through
- 3 quick checks
- Marked quiz at the end
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 16
Visual introductionPicture this
Written methods with fractions and decimals
A recipe that needs 2 3/4 cups of flour and a bill split three ways both come down to the same four operations you already know — just with fractions and decimals in the mix.
In a nutshell
Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers
Learning cycle
Part 2 of 16
Learning cycle 1 of 2
Part 1 · Adding mixed numbers
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 16
Learn
Adding mixed numbers
Add 1 2/3 + 2 1/6. Convert to a common denominator of 6: 1 4/6 + 2 1/6 = 3 5/6. Whole numbers add separately from the fraction parts once denominators match.
Reset break
Part 4 of 16
Pause
That's sitting 1 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Explore the idea
Part 5 of 16
Learn
Multiplying fractions
Multiply 3/4 × 2/5 by multiplying numerators and denominators: (3×2)/(4×5) = 6/20, which simplifies to 3/10.
Quick check
Part 6 of 16
Quick check
Part 7 of 16
Reset break
Part 8 of 16
Pause
That's sitting 2 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Learning cycle
Part 9 of 16
Learning cycle 2 of 2
Part 2 · Decimal division
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 10 of 16
Learn
Decimal division
Divide 12.6 by 0.3 by multiplying both numbers by 10 to clear the decimal: 126 ÷ 3 = 42. So 12.6 ÷ 0.3 = 42.
Quick check
Part 11 of 16
Reset break
Part 12 of 16
Pause
That's sitting 3 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Challenge round
Part 13 of 16
Game · Sort it
Which of these are true?
Drag each card into the right column. Tap a card first if dragging is fiddly.
True
Not true
Challenge round
Part 14 of 16
Game · Recall cards
What is 1 2/3 + 2 1/6?
Card 1 of 3
Mastery quiz
Part 15 of 16
Marked quiz
End of lesson quiz: Written methods with fractions and decimals
3 questions, marked with the reasoning shown. No timer.
1. What is 1 2/3 + 2 1/6?
2. What is 3/4 × 2/5?
3. What is 12.6 ÷ 0.3?
Lesson round-up
Part 16 of 16
Lesson round-up
Ready when you are
Quiz score
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Points this lesson
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Best run
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Luna: 0 out of 3 on the practice checks. Only if you feel up to it — one more?
Ask LunaPart 1 of 16 · Watch & discover
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Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers