**Ordered fractions** are fractions that are sorted in ascending order.

The common methods for ordering fractions are:

Find the

Multiply and divide a number with all fractions so that their denominator becomes equal to the common denominator, as shown in the figure below:

After all of the fractions have an

The fraction with the largest numerator is the largest fraction, and the fraction with the smallest numerator is the smallest fraction. The ordered fractions after the sorting are the sorted fractions.

Fractions | Common Denominator |

1/2 | 15/30 |

2/5 | 12/30 |

5/3 | 50/30 |

**Fractions**: 1/2, 2/5, 5/3

**Common denominators**: 15/30, 12/30, 50/30

**Sorted numerators**: 12/30, 15/30, 50/30

**Ordered fractions**: 2/5, 1/2, 5/3

Find the LCM of the numerators of all fractions. This will be the common numerator of all fractions.

Multiply and divide a number with all fractions so that their numerator becomes equal to the common numerator, as shown in the figure below:

After all of the fractions have an

The fraction with the largest denominator is the smallest fraction, and the fraction with the smallest denominator is the largest fraction. The ordered fractions after the sorting are the sorted fractions.

Fractions | Equivalent Decimals |

9/4 | 630/280 |

7/2 | 630/180 |

2/3 | 630/945 |

5/11 | 630/1386 |

**Fractions**: 9/4, 7/2, 2/3, 5/11

**Common numerators**: 630/280, 630/180, 630/945, 630/1386

**Sorted denominators**: 630/1386, 630/945, 630/280, 630/180

**Ordered fractions**: 5/11, 2/3, 9/4, 7/2

Change all of the fractions to their decimal equivalents and sort them. The resulting fractions after sorting are the sorted fractions.

Fractions | Equivalent Decimals |

1/9 | 0.11 |

2/7 | 0.29 |

5/3 | 1.67 |

7/11 | 0.64 |

2/9 | 0.22 |

**Fractions**: 1/9, 2/7, 5/3, 7/11, 2/9

**Equivalent decimals**: 0.11, 0.29, 1.67, 0.64, 0.22

**Sorted equivalent decimals**: 0.11, 0.22, 0.29, 0.64, 1.67

**Ordered fractions**: 1/9, 2/9, 2/7, 7/11, 5/3

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