# Ratios, rates, proportions

Equivalent ratios Opens a modal. Intro to ratios Opens a modal. Views Read Edit View history. Pre-Algebra Introducing geometry Overview Geometry — fundamental statements Circle graphs Angles and parallel lines Triangles Quadrilaterals, polygons and transformations.

For example you have 2 flashlights and 5 batteries. To compare the ratio between the flashlights and the batteries we divide the set of flashlights with the set of batteries. The ratio is 2 to 5 or 2: All these describe the ratio in different forms of fractions. The ratio can consequently be expressed as fractions or as a decimal.

A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. Ratio tables Get 3 of 4 questions to level up! Ratios with tape diagrams Get 3 of 4 questions to level up! Ratios on coordinate plane Opens a modal. Ratios and measurement Opens a modal. Ratios on coordinate plane Get 3 of 4 questions to level up!

Ratios and units of measurement Get 3 of 4 questions to level up! Part-part-whole ratios Get 3 of 4 questions to level up! Intro to rates Opens a modal. Solving unit rate problem Opens a modal. Solving unit price problem Opens a modal.

Rate review Opens a modal. Multiple rates word problem Opens a modal. Comparing rates example Opens a modal.

Finding average speed or rate Opens a modal. Speed translation Opens a modal. Unit rates Get 5 of 7 questions to level up!

In mathematics , a rate is the ratio between two related quantities. The most common type of rate is "per unit of time", such as speed , heart rate and flux. In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate for example a heart rate is expressed "beats per minute". Often rate is a synonym of rhythm or frequency , a count per second i. Rates and ratios often vary with time, location, particular element or subset of a set of objects, etc.

Thus they are often mathematical functions. For example, velocity v distance tracity on segment i v is a function of index i. Here each segment i, of the trip is a subset of the trip route. A rate or ratio may often be thought of as an output-input ratio, benefit-cost ratio , all considered in the broad sense. For example, miles per hour in transportation is the output or benefit in terms of miles of travel, which one gets from spending an hour a cost in time of traveling at this velocity.