CBSE Class 6 Fractions | PDF | Fraction (Mathematics) | Arithmetic - Free Printable

Let’s solve each question step by step.

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Q1. Fill in the blanks.

1. An improper fraction of 8⁴₉ is _________
→ To convert a mixed number to an improper fraction:
Multiply whole number × denominator, then add numerator. Keep same denominator.
So: 8 × 9 = 72; 72 + 4 = 76 → 76/9

2. 7/21 + ___ = 12/21
→ Subtract 7/21 from 12/21: 12 - 7 = 5 → 5/21

3. The equivalent fraction of 3/5 having numerator 24 is _________
→ 3 × ? = 24 → ? = 8
So multiply denominator too: 5 × 8 = 40 → 24/40

4. Fractions with same denominators are called _________
→ They are called like fractions

5. Which is greater: 3/8 or 3/5?
→ Same numerator? Then smaller denominator means bigger fraction.
5 < 8 → so 3/5 > 3/8 → 3/5

6. What fraction of a day is 6 hours?
→ A day has 24 hours → 6/24 = simplify → divide top and bottom by 6 → 1/4

7. Is 5/9 equal to 4/5?
→ Cross-multiply: 5×5=25, 9×4=36 → 25 ≠ 36 → No

8. A fraction is in simplest form if numerator and denominator have no common factor except _________
→ That’s 1

9. In an improper fraction, the numerator is _________ than the denominator.
→ Improper fraction means numerator ≥ denominator → but usually we say “greater than or equal” — here likely they want greater than (since proper is less). But technically it can be equal too. However, for this level, answer is often greater than. Let’s check Q10 — 18/36 is not improper, so maybe they mean strictly greater. We’ll go with greater than

Actually, standard definition: improper fraction = numerator ≥ denominator. But since Q10 asks about simplifying 18/36 (which is proper), and Q9 says “in an improper fraction”, probably expecting greater than. Some curricula define improper as >, some as ≥. Given context, let’s put greater than or equal to — but blank may expect one word. Looking at typical Class 6 books: they say “numerator is greater than denominator”. So we’ll write: greater than

Wait — actually, 5/5 is also improper. But many textbooks for Class 6 say “greater than”. Let me confirm with Q10: 18/36 is being simplified — that’s a proper fraction. So for Q9, they’re contrasting with proper fractions. Proper = num < den. So improper = num ≥ den. But again, for fill-in-blank, likely expected answer is greater than. I’ll go with greater than to match curriculum level.

Correction: Upon double-checking NCERT and similar, they define improper fraction as where numerator is *greater than or equal to* denominator. But since the blank is singular, and common phrasing in worksheets is “greater than”, and given that 18/36 is mentioned later (which is not improper), perhaps they want “greater than”. Hmm.

Actually, let’s look at exact wording: “In an improper fraction, the numerator is ________ than the denominator.” The word “than” suggests comparison — so if it were “equal to”, it wouldn’t use “than”. So likely they mean greater than.

Final decision: greater than

10. The simplest form of 18/36 is _________
→ Divide numerator and denominator by GCD(18,36)=18 → 18÷18=1, 36÷18=2 → 1/2

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Q2. Compare the following. [ < , > , = ]

1. a) 8/15 □ 4/15
→ Same denominator → compare numerators: 8 > 4 → >

b) 4/7 and 3/8
→ Different denominators → cross multiply:
4×8 = 32, 7×3 = 21 → 32 > 21 → so 4/7 > 3/8 → >

c) 5/8 and 5/7
→ Same numerator → smaller denominator means larger fraction → 7 < 8 → so 5/7 > 5/8 → so 5/8 < 5/7 → <

2. Show 3/5, 5/5, and 7/5 on a number line.
→ This is a drawing task. Since we can't draw here, describe:
Draw a number line from 0 to 2. Mark points at every 1/5.
- 3/5 is third mark after 0
- 5/5 = 1 → exactly at 1
- 7/5 = 1 and 2/5 → two marks after 1

But since the instruction is to "show", and we’re text-based, we note that student should plot them accordingly. For final answer, we skip visual, but for completeness, we mention positions.

However, since the user didn’t ask to explain how to draw, and GeneratePractice is false, we don’t need to elaborate further for final answer. Just know that 3/5 < 1, 5/5=1, 7/5>1.

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Q3. Express as mixed fractions.

a) 17/7
→ 7 goes into 17 twice (14), remainder 3 → 2 3/7

b) 38/5
→ 5 × 7 = 35, remainder 3 → 7 3/5

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Now, compiling all answers clearly:

Final Answer:
Q1.
1. 76/9
2. 5/21
3. 24/40
4. like fractions
5. 3/5
6. 1/4
7. No
8. 1
9. greater than
10. 1/2

Q2.
1. a) >
b) >
c) <
2. (Plot 3/5 between 0 and 1, 5/5 at 1, 7/5 between 1 and 2)

Q3.
a. 2 3/7
b. 7 3/5