# Define what is meant by the term ratio. Compare and contrast rates, proportions,

Define what is meant by the term ratio. Compare and contrast rates, proportions, and percentages. Give an example of each one

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A ratio is a relationship between two numbers indicating how many times the first number contains the second.
For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, $$\displaystyle{8}\div{6}$$, which is equivalent to the ratio $$\displaystyle{4}\div{3}$$).
Rate means the change in one variable with respect to change in other variable. For example speed is rate of change of distance with change in time.
A proportion is a statement that explains that ratios are equal, e.g. $$\displaystyle{1}\div{2}={3}\div{6}$$
Percentage is a measure of a portion in relation to a whole, often expressed in relation to how many of something there are per 100. When a group has half girls and half boys, this is an example of a situation where the percentage of boys in the group is equal to 50 percent.
A ratio compares two quantities of the same unit, e.g. if the ratio of my supply of apples to your supply of apples is $$\displaystyle{1}\div{2}$$, it means that for every 1 apple | have, you have 2. Ratios can also be expressed as fractions, e.g. $$\displaystyle{1}\div{2}$$ is $$\displaystyle{\frac{{{1}}}{{{2}}}}$$.
A rate compares two quantities of different units, e.g. mph or km/h. $$\displaystyle{m}{i}{d}{f}{m}{i}{d}$$ travel at a speed of 65 mph, it means for every 1 hour, | have traveled 65 miles and for every 65 miles | travel, | have spent 1 hour.