# Fractions: Theory and Online Calculators. Automatically perform mathematical operations with fractions, accompanied by detailed explanations. Learn by seeing and doing, through hundreds of thousands or even millions of step-by-step solved examples

## The latest fractions reduced to the lowest terms

 How to reduce (simplify) the fraction 30/108,054? Jan 31 19:13 UTC (GMT) How to reduce (simplify) the fraction 73/63? Jan 31 19:13 UTC (GMT) How to reduce (simplify) the fraction - 103/205? Jan 31 19:13 UTC (GMT) Common ordinary fractions reduced (simplified) to the lowest terms: all the operations run by users, with explanations

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

 Convert the decimal number 8.29 Jan 31 19:12 UTC (GMT) Convert the decimal number 18.1 Jan 31 19:12 UTC (GMT) Convert the decimal number 1.7 Jan 31 19:12 UTC (GMT) All the integers, terminating and repeating (recurring) decimal numbers converted to fractions, mixed numbers and turned into percentages

## The latest common ordinary fractions compared and sorted in ascending order

 Compare and sort the fractions: 3/8 and 375/1,000 Jan 31 19:13 UTC (GMT) Compare and sort the fractions: 1/10 and 2/5 Jan 31 19:12 UTC (GMT) Compare and sort the fractions: - 50,002/9 and - 50,009/11 Jan 31 19:12 UTC (GMT) See all the common ordinary fractions compared by the users... See all the common ordinary fractions sorted in ascending order...

## The latest common ordinary fractions compared and sorted in ascending order

 Compare and sort the fractions: 3/8 and 375/1,000 Jan 31 19:13 UTC (GMT) Compare and sort the fractions: 1/10 and 2/5 Jan 31 19:12 UTC (GMT) Compare and sort the fractions: - 50,002/9 and - 50,009/11 Jan 31 19:12 UTC (GMT) See all the common ordinary fractions compared by the users... See all the common ordinary fractions sorted in ascending order...

## Fractions additions: the latest fractions added by the users

 Add the fractions: 26/9 - 19/44 = ? Jan 31 19:13 UTC (GMT) Add the fractions: 18/12 + 9/12 = ? Jan 31 19:13 UTC (GMT) Add the fractions: 12/48 - 5/38 = ? Jan 31 19:13 UTC (GMT) All the operations with added fractions

## Fractions subtractions: the latest fractions subtracted by the users

 Subtract the fractions: - 39/25 - 52/16 = ? Jan 31 19:13 UTC (GMT) Subtract the fractions: 32/502,368 - 30/11 = ? Jan 31 19:13 UTC (GMT) Subtract the fractions: 23/23,745 + 18/4 = ? Jan 31 19:13 UTC (GMT) All the operations with fractions subtractions

## The latest common ordinary fractions that have been multiplied

 Multiply the common ordinary fractions: 360 × 4/9 = ? Jan 31 19:13 UTC (GMT) Multiply the common ordinary fractions: - 85/9 × - 10/18 = ? Jan 31 19:13 UTC (GMT) Multiply the common ordinary fractions: 12/7 × 13/4 = ? Jan 31 19:13 UTC (GMT) All the common ordinary fractions multiplied by the users

## 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).