Equal parts first
Same size, or no fraction.
Four pieces are quarters only when all four match in size. Count the pieces, then check they are equal. A slab snapped into four ragged lumps has four pieces and not one quarter among them.
📚 Chapter Learning Kit
Fractions · Class 6 Mathematics · Ganita Prakash
English 5 topics 145 leveled MCQs 75 flashcards 7 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
⚡ Veda Bites
💡 Key Idea
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💡 Key Idea
✏️ Example
💡 Key Idea
The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
What a fractional unit is
One piece has a name.
Cut a whole into equal parts and one part is a fractional unit. Cut into 6 and each part is 1/6. These pieces always carry 1 on top, so they are also called unit fractions.
Naming and counting
A fraction is a count.
The lower number names the piece size. The upper number counts the pieces. So 3/5 is three pieces of 1/5, and 7/8 is seven pieces of 1/8.
Above or below a whole
Top heavy means over one.
A top number smaller than the bottom means the fraction sits below 1. A top number larger than the bottom means it has passed 1. When the two match, the fraction is exactly 1.
Finding the wholes inside
Seventeen fifths.
Five pieces of 1/5 make one whole. Take fives out of 17 and three wholes come away, leaving 2 pieces. So 17/5 is three wholes and 2/5.
What a mixed fraction is
A whole plus a bit.
A mixed fraction pairs a whole number with a proper fraction, as in 3 2/5. The fractional part is always below one whole, since any further whole would have been pulled out.
📖 Smart notes
What you'll study, topic by topic
1
Fractional Units and Measuring
One whole cut into equal parts gives a fractional unit. A fraction counts those units, and the same count can be shown on a paper strip or marked on a number line.
- Cut one whole into equal parts and each single part is a fractional unit, such as 1/4 or 1/8.
- Equal means the same size. Four pieces of four different sizes are not quarters, however neat the cuts look.
- The bottom number of a fraction names the piece size. The top number counts how many of those pieces you have.
~34 min · full explanation, examples & memory tricks in the app
2
Mixed Fractions, and Making Equivalent Ones
Fractions can pass one whole, and those are written as a whole number beside a fraction. Different fractions can also name one amount, and a paper strip shows why.
- When the top number is smaller than the bottom one, the fraction sits below 1. When it is larger, the fraction passes 1.
- Gather 5 pieces of 1/5 and you have one whole, so 17/5 holds three wholes with 2/5 still loose.
- A mixed fraction is a whole number written beside a proper fraction, such as 3 2/5.
~38 min · full explanation, examples & memory tricks in the app
3
Why Equivalence Works, and Comparing
Re-cutting a whole into more, smaller pieces explains the equivalence rule. The same idea reduces a fraction to its simplest form and settles which of two fractions is larger.
- Multiplying both numbers by 2 cuts every piece in half and takes twice as many, so the amount stays put.
- That is why 2/3, 4/6 and 6/9 shade exactly the same length of a strip.
- Dividing both numbers by a common factor runs the same idea backwards, joining pieces into larger ones.
~36 min · full explanation, examples & memory tricks in the app
4
Adding and Subtracting Fractions
Fractions can be added or taken away only once their pieces match in size. Matching the pieces first turns every such sum into ordinary counting.
- Fractions with the same lower number are counting the same pieces, so the counts simply add: 3/11 + 5/11 = 8/11.
- The lower number does not change during the sum, because the piece size has not changed.
- Adding the two lower numbers together is wrong, and it makes the answer smaller than either fraction.
~38 min · full explanation, examples & memory tricks in the app
5
A Pinch of History
The chapter closes with the long story of fractions: their Sanskrit names, the way the symbols took shape, the unit fractions of other lands, and a puzzle that has only one answer.
- In Sanskrit a fraction was called bhinna, meaning broken, and also bhaga or ansha, meaning a part or a piece.
- The chapter traces the way we write fractions today back to India, where the two numbers were written one above the other.
- The Bakshali manuscript, from around 300 CE, already wrote a half in that stacked way, with no bar between the numbers.
~30 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
145 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A ribbon is cut into 4 pieces that are all the same length. What is one piece called?
Beginner
A One quarter of the ribbon
B One third of the ribbon, because three cuts were made
C One half of the ribbon, since the ribbon was folded twice
D Four ribbons, one piece counting as a ribbon each
Show answer & explanation
One quarter of the ribbon
Four equal pieces make quarters, and the number of cuts does not name the piece.
A whole chikki is cut into 8 equal parts. Each part is ____ of the chikki.
Beginner
A 1/4, because 8 is double 4
B 1/8 of the chikki
C 8 wholes, one for every part
D 1/16, since each part is halved again
Show answer & explanation
1/8 of the chikki
Eight equal parts means each part is one of eight, written 1/8.
Sunita shares one dosa among 5 friends. Girish shares a dosa of the same size among 3 friends. Whose friends get more?
Beginner
A Sunita's friends, because 5 is the bigger of the two numbers
B Both sets of friends get exactly the same amount
C Girish's friends, because fewer people share the same dosa
D Nobody can tell without weighing both dosas first
Show answer & explanation
Girish's friends, because fewer people share the same dosa
The same dosa split fewer ways leaves a larger piece for each person.
Which of these statements about fractions is true?
Beginner
A Any four pieces of a slab can be called quarters
B The numerator tells you how big one piece is
C 1/9 of a roti is larger than 1/5 of the same roti
D 1/5 of a roti is larger than 1/9 of the same roti
Show answer & explanation
1/5 of a roti is larger than 1/9 of the same roti
Fifths come from fewer cuts than ninths, so each fifth is the bigger piece.
🃏 Flashcards
Tap a card to flip it
75 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Memory Match
Categorization
Fact Or Myth
Word Scramble
Sequence Builder
True False
Speed Quiz
Playable in the app
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.