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### Theory:

**Here comes the list of properties on ratios**:

**1.**A ratio is a number. It has no unit.

**2.**The two quantities of the ratio should be of the same unit.

Example:

The ratio of \(10km\) to \(100m\). Here we should not directly compare the quantities \(10km\) and \(100m\). Let us convert to the same unit and compare the numbers. \(10km = 10000m\). Thus, \(10000 :100\). In simpler form, \(100:1\).

**3.**Each number of the ratio is called a term.

Example:

There are \(13\) boys, and \(23\) girls in class \(6\) went on an educational trip. The ratio of boys to girls went on an educational trip is \(13:23\). \(13\) and \(23\) are the terms of the ratio.

**4.**Order of the terms in a ratio cannot be reversed.

Example:

The ratio of the number of days in a week to the number of months in a year. The number of days in a week is \(7\). The number of months in a year is \(12\). The required ratio is \(7:12\). The same information should not be taken as \(12:7\). So \(7:12\) is not same as \(12:7\).