Fractions: Theory and Online Calculators. Automatically perform mathematical operations with fractions, accompanied by detailed explanations. Learn by seeing and doing, going through lots of step-by-step solved examples

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) fractions / theory: