Fractions: theory & online calculators. Automatically perform operations with fractions, followed by step by step, detailed explanations. Learn by the examples that you solve out

Fractions operations that can be run automatically, with explanations:

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


The latest fractions compared and sorted in ascending order

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


The latest fractions compared and sorted in ascending order

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


The latest added fractions

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


The latest subtracted fractions

4/92 + 8 = ? Aug 11 09:05 UTC (GMT)
- 10/8 - 11/4 = ? Aug 11 09:05 UTC (GMT)
35/17 - 5/3 = ? Aug 11 09:05 UTC (GMT)
see more... subtracted fractions

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


The latest fractions multiplied

Ordinary fractions: what are they?

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).

More on ordinary (common) math fractions theory: