Maths11+ subject

11+ Fractions, Decimals & Percentages Explorer

Master fractions, decimals, and percentages with dynamic visual models, interactive conversion tools, step-by-step arithmetic operations, and 11+ entrance exam word problems.

3 interactive stages

6 learning modules

100% interactive drills

Works on any device. Or create a free account for free quizzes.

Interactive Fractions, Decimals & Percentages Lab

Interactive Explorer · 3 Stages

Work through the 3 interactive learning stages: explore fraction concepts visually, master arithmetic and equivalence conversions, and tackle 11+ mixed word problems. Note: Practice stars are session-based; for permanent score tracking, use the practice tests linked above.

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Session Practice Mode: The interactive lab drills and quizzes are designed for instant hands-on practice. Stars earned here are temporary for this browsing session and reset when the page refreshes.

For timed tests with scores recorded to your student dashboard, take our full practice tests: Fractions Practice → Percentages Practice → Decimals Practice →

Fractions, Decimals & Percentages Interactive Lab

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Concept Sandbox

Fraction Visualiser

Adjust the sliders to see how the numerator and denominator change the size of the fraction.

Numerator (Top): 1

Denominator (Bottom): 4

Bar Model

Equivalent Fractions

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Learn & Explore

Fraction Types

A proper fraction has a numerator smaller than the denominator. It is less than 1.

An improper fraction has a numerator larger than or equal to the denominator. It represents 1 or more wholes.

A mixed number combines a whole number with a proper fraction. (e.g. 3 wholes and a half).

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How to convert between Improper and Mixed fractions:

Answer:

Find a common denominator to compare the fractions. Select <, >, or =.

Calculations

Fraction Operations

To find a fraction of an amount: Divide by the bottom, multiply by the top.

Find 35 of 40

Total = 40

40 ÷ 5 = 8. Then 8 × 3 = 24.

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Answer =

You must find a Common Denominator before adding or subtracting.

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Multiplication: Multiply the tops, multiply the bottoms.
Division (KFC): Keep the first, Flip the second, Change ÷ to ×.

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Percentage Basics

The 100 Grid

Percent means "out of 100". Use the 100-grid to visualise percentages.

shaded

Percentage Change

Increase & Decrease

Original: 200

Change %: 25%

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Working Backwards

Reverse Percentages

Work backwards to find the original 100% value.

Original 100% =

Connections

Fractions, Decimals, Percentages

Click a common fraction below to see its decimal and percentage equivalents. Memorising these is crucial for the 11+!

Fraction

Decimal

Percentage

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Applied Knowledge

Mixed Word Problems

Tackle these real-world scenarios combining fractions and percentages!

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Fractions, decimals and percentages equivalence guide

Rapid mental conversion between fractions, decimals, and percentages is crucial for high scores in 11+ entrance exams.

Core Benchmarks

Key Equivalents to Memorise

These common equivalents appear in almost every 11+ maths exam. Learn them by heart for instant recall.

Fraction	Decimal	Percentage
1/2	`0.5`	50%
1/4	`0.25`	25%
3/4	`0.75`	75%
1/5	`0.2`	20%
1/10	`0.1`	10%
1/8	`0.125`	12.5%
3/8	`0.375`	37.5%
1/3	`0.333…`	33⅓%
2/3	`0.666… (recurring)`	66⅔%

Step-by-Step

3 Core Conversion Rules

When you do not know the benchmark by heart, use these reliable arithmetic rules.

Fraction → Decimal

Divide the numerator by the denominator.

Example 3/8 = 3 ÷ 8 = 0.375

Decimal → Percentage

Multiply by 100 (move the decimal point 2 places right).

Example 0.45 × 100 = 45%

Percentage → Fraction

Place over 100, then simplify to lowest terms using common factors.

Example 65% = 65/100 = 13/20

More maths practice

FractionsEquivalent fractions and calculationsOpen → DecimalsDecimal place value and operationsOpen → PercentagesPercentage methods and changeOpen → Ratio & ProportionSharing, scaling and proportionsOpen →

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