Fractions, Decimals and Percentages

Fraction

A way to represent parts of a whole using a numerator and denominator.

Decimal

A representation of parts as a division of whole numbers, typically containing a decimal point.

Percentage

A way to express a part per hundred, typically indicated by the '%' symbol.

Conversion

The process of changing a number from one form (fraction, decimal, percentage) to another.

Recurring Decimal

A decimal that has one or more digits that repeat indefinitely.

Vinculum

The line or dot used to indicate that a sequence of digits in a decimal repeats indefinitely.

Example of Fraction to Decimal Conversion

5/11 as a decimal is 0.454545…, which can be written as 0.45̅.

Converting 0.75 to a Fraction

0.75 can be expressed as 75/100 and simplifies to 3/4.

Converting Decimals to Percentages

To convert a decimal to a percentage, multiply by 100.

Visual Aids in Understanding Fractions

Using tools like pie charts or bar models to better grasp the relationships between fractions, decimals, and percentages.

Example of Simplifying a Decimal

0.6 is equivalent to 60/100, which simplifies to 3/5.

Convert 0.333… to Fraction

0.333… can be represented as the fraction 1/3.

Example of Converting 0.024 to Fraction

0.024 is equivalent to 24/100, which simplifies to 6/25.

Example of Percentages from Fractions

¾ is equal to 0.75 and 75%.

Example of Converting 1/5 to Decimal and Percentage

1/5 equals 0.2 and represents 20%.