YOUR NEXT DISCOVERY
Fractions: understand every part
Share, measure and calculate. See why each idea works.
Complete the Course to Earn a Certificate and Join the Hall of Fame
Why can one half also be two quarters?
Cutting a portion into smaller pieces changes how we count it. It does not change how much we have.
The shaded region starts as one half of the same whole bar.
Read all steps
- Cut each half in two
Every half becomes two quarters. The whole has four pieces and our portion has two, so 1/2 = 2/4.
Meaning: 1/2 = 2/4
- Cut each quarter in two
There are now eight equal pieces in the whole. Our portion covers four of them, so 2/4 = 4/8.
Meaning: 1/2 = 2/4 = 4/8
See it. Try it. Make it yours.
Make sense of every piece
Use all four fraction operations
Move between fractions and decimals
Beginners · What to know before you start
Bring with you: Count, add, subtract, multiply and share small whole numbers. No fraction knowledge needed.
Share fairly, measure accurately and scale real quantities.
12 connected Missions, about 2 hours with practice. Pause between Missions and return for a fresh attempt.
By the end, you can…
- Make fair shares from equal parts of one whole.
- Read and build fractions using numerator and denominator.
- Locate fractions on a number line, including more than one whole.
- Build equivalent fractions and simplify them.
- Compare and order fractions of the same whole.
- Add and subtract fractions with the same denominator.
- Add and subtract fractions with different denominators.
- Multiply fractions by whole numbers and find a fraction of a quantity.
- Multiply two fractions and explain why the product can be smaller.
- Divide fractions using equal-sized groups.
- Convert fractions to decimals using tenths, hundredths and division.
For another Course
- Algebraic fractions and formal proofs
- Advanced recurring-decimal conversion and irrational numbers
YOUR LEARNING PATH
One idea leads to the next.
A Debsie Course · Beginners