(1) Online calculator: Reduce (simplify) common ordinary (simple) fractions

The latest fractions reduced to the lowest terms

(2) Online calculator: Turn integer and decimal numbers into fractions and percentages

The latest integers, terminating and repeating (recurring) decimal numbers converted to fractions and turned into percentages

(3) Online calculator: Compare and sort common ordinary fractions

The latest common ordinary fractions compared and sorted in ascending order

(4) Online calculator: Sort common ordinary fractions in ascending order

The latest common ordinary fractions compared and sorted in ascending order

(5) Online calculator: Add common (ordinary, simple) fractions

Fractions additions: the latest fractions added by the users

(6) Online calculator: Subtract common (ordinary, simple) fractions

Fractions subtractions: the latest fractions subtracted by the users

(7) Online calculator: Multiply common ordinary (simple) fractions

The latest common ordinary fractions that have been multiplied

Mathematical operations with fractions and theory: addition, subtraction, multiplication, division, fractions reducing (simplifying), comparing, sorting in ascending order, converting numbers to fractions and percentages.

If we have to divide evenly 6 apples to 3 children, then we perform the operation:

• 6÷3 = 2
• so we know that each child will get 2 apples.

If we have to divide evenly 2 apples to 3 children, then we perform the operation:

• 2÷3 = ?
• this operation has no solution in the set of natural numbers;
• however we will be able to divide the apples with the help of a knife: the quantity of apple for each child will be defined using the fraction ²/₃
• all similar cases lead to fractions.

Fractions are formed by dividing numbers:

• each fraction has the form ^a/_b
• "a" is the numerator, written above the fraction bar;
• "b" is the denominator, written below the fraction bar; "b" may not be zero;
• "b" shows us in how many equal parts "a" has been divided;
• the value of the fraction is calculated by dividing the numerator, "a", by the denominator, "b":
• "a"÷"b"
• these fractions, in which both the numerator and the denominator are integers, are called ordinary fractions (also called normal, or simple).

(1) What is a fraction? Fractions types. How do they compare?

(2) Changing the form of fractions, by expanding or reducing (simplifying)

(3) How to reduce fractions (simplifying). The greatest common factor, GCF

(4) How to compare two fractions with unlike (different) numerators and denominators

(5) How to sort out fractions in ascending order

(6) Adding common (ordinary) fractions

(7) Subtracting common (ordinary) fractions

(8) Multiplying common (ordinary) fractions

(9) Fractions as rational numbers