Fractions & Decimals

Connect parts of a whole, division, place value, and percentages.

Visual learning: The galleries use real photographs of mathematical tools from Wikimedia Commons rather than AI art or decorative illustrations.
Abacus
AbacusA historic calculating tool makes place value physical.
Geometry Compass
Geometry CompassA compass draws circles and supports geometric construction.
Measuring Tape
Measuring TapeMeasurement connects numbers with real distance.
Graphing Calculator
Graphing CalculatorA graphing calculator displays numerical and algebraic patterns.

Fraction Meaning

Fractions represent ratios, parts, or division.

Learn More

Equivalent Fractions

Different forms can represent the same value.

Learn More

Comparing

Fractions can be compared in several ways.

Learn More

Adding Fractions

Fractions need equal-sized parts before adding.

Learn More

Multiplying Fractions

Fraction multiplication scales one value by another.

Learn More

Decimal Place Value

Decimals extend place value to the right.

Learn More

Percent

Percent means per hundred.

Learn More

Converting Forms

Fractions, decimals, and percents can represent the same value.

Learn More

Fraction Meaning

They can describe portions, rates, measurements, and points on a number line.

Equivalent Fractions

Multiplying numerator and denominator by the same nonzero number keeps value unchanged.

Comparing

Common denominators, benchmarks, decimals, and number lines can all help.

Adding Fractions

A common denominator creates compatible pieces, after which numerators can be combined.

Multiplying Fractions

The numerators multiply together and the denominators multiply together.

Decimal Place Value

Tenths, hundredths, and thousandths behave like fractional powers of ten.

Percent

Twenty-five percent equals 25 out of 100, 0.25, and one quarter.

Converting Forms

Division converts many fractions to decimals, and multiplying a decimal by 100 converts it to percent.