Ratios and Unit Rates

Introduction to Ratios and Unit rates:
                  In mathematics, there are more topics which perform arithmetic and binary operations. Ratios are the mathematical terms which are used to make a relationship between any two numbers or variables. They are used to compare two values of any quantities. A rate is a ratio which is used to compare any two terms. Unit rate is also a rate in which one quantity is corresponding to the unit of another quantity. Let us discuss about the ratios and unit rates with definitions.

Definitions for Ratios and Unit Rates:

           Here we see the definitions for rate and ratios.

Rate:

          The rate is defined as a ratio which is used for comparing any two different numbers. It is a ratio between two or more numbers.

Formula for rate:

              The term rate can be calculated or found as the distance travelled (d) to a time period (t) per hours or minutes in the form of proportion.

Unit rate:

          A unit rate is used to check the given equation or to compare the given quantity. It defines how many total units are there in one quantity to the other quantity.

Example for common unit rates:

         Salary per month, cost per item, kilometers per hour, dollars per pound.

Ratios:

        Ratios are defined as comparing of two numbers specified in a form by the use of a colon. It is a relationship between two or more things.

Example for ratio:

        The numbers 4 and 8 can be represented in ratio as 4: 8. It is also given as fraction or proportion form as `4/8` .

These are the definitions and explanation for ratios and unit rates.

Problems for Ratios and Unit Rates:

       We see some problems for ratios and unit rates.

Problem 1:

          Reena has bought 6 apples, 5 chocolates and 2 bananas.

 i) What is the ratio of apples to bananas?

ii) Mention the ratio of chocolates to bananas.

Solution:

      i) The ratio of apples to bananas can be written as one quantity of number to other.

So, the ratio is 6 : 2.

      ii) In this, the ratio of chocolates to bananas can be mentioned as number of chocolates to number of bananas.

That is, 5 : 2.

Problem 2:

     Find the unit rate for 52 kilometers per 3 hours.

Solution:

        The unit rate can be found as one quantity to other.

Therefore unit rate = `52/3`

= 14

Hence the unit rate = 14 kilometers per hour.

These are the problems for ratios and unit rates.

Is this topic what are prime numbers and composite numbers hard for you? Watch out for my coming posts.