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A **fraction** is the expression of a quantity divided by another, and a **proper fraction** represents the object parts that take a object whole.

The classic example is that of a cheese that matches portions.

In the picture, we have made 8 portions, 3 roses and 5 green.

If we take the 3 roses, represents 3 portions of eight in which we have divided the cheese, ie 3 / 8 of the cheese,and if we take the 5 green , represents 5 portions of eight in which we have divided the cheese, ie 5 / 8 of the cheese. |

The parts we take (3-5) are called

Fractions can be classified in different ways, in the following table shows the characteristics of the most important.

Type | Features | Examples |

Proper | The numerator is smaller than the denominator | 1 / 2, 7 / 9 |

Improper | The numerator is greater than the denominator | 4 / 3, 5 / 2 |

Whole | The numerator equals the denominator; represent an integer | 6 / 6 = 1 |

Homogeneous | They have the same denominator | 2 / 5, 4 / 5 |

Heterogeneous | They have different denominator | 3 / 7, 2 / 8 |

Equivalents | When they have the same value. Two fractions are equivalent if their cross product are equal | 2/3 y 4/6 2x6 = 3x4 |

If a fraction we multiply or divide the numerator and denominator by the same number, we get a fraction equivalent to the first, as both have the same value.

1 | (1 x 4) | 4 | 3 | (3 : 3) | 1 | |||||||||

— | = | ——— | = | — | = | 0,5 ; | — | = | ——— | = | — | = | 0,2 | |

2 | (2 x 4) | 8 | 15 | (15 : 3) | 5 |

A fraction in which the numerator and denominator have no factors in common (other than 1) is said to be

The first rule of addition is that only

If the fractions have the

3 | 2 | (3 + 2) | 5 | 5 | 2 | (5 – 2) | 3 | |||||||

— | + | — | = | ——— | = | — ; | — | – | — | = | ——— | = | — | |

6 | 6 | 6 | 6 | 7 | 7 | 7 | 7 |

If the fractions have

2 | 3 | (2 x 7) | (3 x 5) | 14 | 15 | 29 | ||||||

— | + | — | = | ——— | + | ——— | = | —— | + | —— | = | —— |

5 | 7 | (5 x 7) | (7 x 5) | 35 | 35 | 35 |

The product of various fractions is equal to another fraction whose numerator is the product of the numerators and denominator is the product of the denominators.

3 | 4 | 2 | (3 x 4 x 2) | 24 | 2 | ||||||

— | x | — | x | — | = | ———— | = | —— | simplifying | = | — |

4 | 5 | 3 | (4 x 5 x 3) | 60 | 5 |

Calculate the fraction of a number is the same as multiplying the fraction by that number.

2 | 2 | (2 x 60) | 120 | |||||||||

— | of | 60 | = | — | x | 60 | = | ——— | = | —— | = | 40 |

3 | 3 | 3 | 3 |

The quotient of two fractions is another fraction whose numerator is the product of the first numerator by the denominator of the second, and the denominator is the product of the denominator of the first by the numerator of the second.

4 | 3 | (4 x 5) | 20 | |||

— | : | — | = | ——— | = | —— |

9 | 5 | (9 x 3) | 27 |

In the games, the fraction line we will write with the slash "

The games in the menu will help you learn fractions.