Fractions & Decimals Class 6 Worksheet — Free PDF Download with Answers

A fraction represents a part of a whole. When you eat $3$ slices of a pizza cut into $8$ equal pieces, you have eaten $\frac{3}{8}$ of the pizza. Decimals are another way to represent parts of a whole, using the base-ten place value system: $0.375$ means $\frac{375}{1000}$.

Fractions and decimals are two sides of the same coin. Converting fluently between them — and performing operations like addition, subtraction, and comparison — is one of the most important skills in Class 6 mathematics. These concepts underpin percentages, ratio, proportion, and algebra in later classes.

Many students find fractions challenging because they require a different kind of thinking from whole numbers. You cannot simply add numerators and denominators. This worksheet provides 60 carefully sequenced questions to build fluency step by step, from basic identification to multi-step word problems.

* Fraction — $\dfrac{a}{b}$ where $a$ is the numerator and $b$ is the denominator ($b \neq 0$).
* Types of fractions:
- Proper: numerator $<$ denominator (e.g., $\frac{3}{5}$).
- Improper: numerator $\geq$ denominator (e.g., $\frac{7}{4}$).
- Mixed: whole number + proper fraction (e.g., $1\frac{3}{4}$).
* Equivalent fractions — $\dfrac{a}{b} = \dfrac{a \times k}{b \times k}$ for any $k \neq 0$.
* Simplest form — Divide numerator and denominator by their HCF.
* Comparing fractions — Convert to the same denominator (LCM) and compare numerators.
* Adding/subtracting fractions — Use a common denominator: $\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd}$, then simplify.
* Decimal place values — Tenths ($0.1$), hundredths ($0.01$), thousandths ($0.001$).
* Fraction to decimal — Divide numerator by denominator: $\frac{3}{8} = 0.375$.
* Decimal to fraction — $0.75 = \frac{75}{100} = \frac{3}{4}$.
* Comparing decimals — Compare digit by digit from left to right, just like whole numbers.

1. Print the PDF — Download from the links below.

2. Start with Level 1 (Easy) — 20 questions on identifying fractions, equivalent fractions, and basic decimal place values.

3. Time yourself — 15 minutes for Level 1, 20 for Level 2, 25 for Level 3.

4. Check answers — Use the included answer key.

5. Revise mistakes — For fraction errors, redo the problem showing every step (finding LCM, converting, simplifying).

6. Move to the next level — Progress when you score 16/20 or above.

Level 1 — Easy

1. Write two equivalent fractions of $\dfrac{3}{5}$.
Solution: $\dfrac{6}{10}$ and $\dfrac{9}{15}$.

2. Convert $\dfrac{7}{4}$ to a mixed number.
Solution: $7 \div 4 = 1$ remainder $3$, so $\dfrac{7}{4} = 1\dfrac{3}{4}$.

3. Write $0.45$ as a fraction in simplest form.
Solution: $0.45 = \dfrac{45}{100} = \dfrac{9}{20}$.

Level 2 — Medium

1. Add $\dfrac{2}{3} + \dfrac{3}{7}$.
Solution: LCM of $3$ and $7$ is $21$. $\dfrac{14}{21} + \dfrac{9}{21} = \dfrac{23}{21} = 1\dfrac{2}{21}$.

2. Arrange in ascending order: $\dfrac{5}{8}, \dfrac{3}{4}, \dfrac{7}{12}$.
Solution: LCM of $8, 4, 12$ is $24$. Converted: $\dfrac{15}{24}, \dfrac{18}{24}, \dfrac{14}{24}$. Order: $\dfrac{7}{12} < \dfrac{5}{8} < \dfrac{3}{4}$.

3. Subtract $3.72 - 1.865$.
Solution: $3.720 - 1.865 = 1.855$.

Level 3 — Hard

1. Ravi ate $\frac{2}{5}$ of a cake and Priya ate $\frac{1}{3}$ of the same cake. What fraction is left?
Solution: Eaten $= \frac{2}{5} + \frac{1}{3} = \frac{6}{15} + \frac{5}{15} = \frac{11}{15}$. Left $= 1 - \frac{11}{15} = \frac{4}{15}$.

2. Find a fraction between $\dfrac{3}{7}$ and $\dfrac{4}{7}$.
Solution: $\dfrac{3}{7} = \dfrac{6}{14}$ and $\dfrac{4}{7} = \dfrac{8}{14}$. A fraction between them: $\dfrac{7}{14} = \dfrac{1}{2}$.

3. A rope $4.5$ m long is cut into pieces of $0.75$ m each. How many pieces are obtained?
Solution: $4.5 \div 0.75 = \dfrac{450}{75} = 6$ pieces.

CBSE (NCERT — Ganita Prakash / Math Magic)
CBSE covers fractions in a dedicated chapter focusing on equivalent fractions, comparison, and addition/subtraction of like and unlike fractions. Decimals are introduced separately. The new Ganita Prakash textbook integrates visual models and real-world contexts.

ICSE (Selina / ML Aggarwal)
ICSE typically has separate chapters for Fractions and Decimals, with greater depth in operations (including multiplication and division of fractions at this level). ICSE exams include multi-step word problems and conversion between fractions, decimals, and percentages.

IB MYP (Mathematics Framework)
The MYP combines fractions and decimals into a single "Fractions & Decimals" unit, emphasising conceptual understanding. Students are expected to explain why operations work (e.g., why we flip and multiply for division) and apply fractions to real-world measurement tasks.

Key Differences:
* CBSE: Visual and contextual; separate fractions and decimals chapters.
* ICSE: More operations covered; includes fraction multiplication/division.
* IB: Conceptual; unified fractions-decimals unit; emphasis on explanation.

Download your free Fractions & Decimals worksheets:

* Fractions CBSE Worksheet — 60 questions aligned to NCERT
* Fractions ICSE Worksheet — 60 questions aligned to Selina
* Decimals ICSE Worksheet — 60 questions on decimal operations

Practise online:

* Practice Online — CBSE Fractions
* Practice Online — ICSE Fractions
* Practice Online — ICSE Decimals
* Practice Online — IB Fractions & Decimals

Each worksheet has 20 questions per level with a detailed answer key.

* AI Maths Solver — Stuck on a fraction problem? Get a step-by-step solution.
* Spark Coach — AI tutor that guides with hints, building real problem-solving skills.
* Free Worksheets for All Classes — Browse worksheets from Class 1 to 10.
* Play Mode for Class 1-4 — Fun fraction games for younger learners.

Continue your Class 6 practice:

* Numbers & Place Value Class 6 Worksheet
* Ratio and Proportion Class 6 Worksheet
* Integers Class 6 Worksheet
* Prime Numbers & Factors Class 6 Worksheet
* Data Handling Class 6 Worksheet