FRACTIONS

The study of Fractions is an important topic under Math. Fractions are basically a type of numbers. There are different types of numbers:

• Whole Numbers
• Natural Numbers
• Integers
• Fractions
• Rational Numbers
• Irrational Numbers

• Fractions are those numbers which are represented as the 'parts of a whole' . For example: 1/4 is one part out of four total parts. Students can learn how to compare fractions and understand the steps involved.

Various mathematical operations can be conducted on Fractions. Students can learn :

• How to add fractions
• How to subtract fractions
• How to divide fractions
• How to multiply fractions

Division of fractions in turn varies with the different kinds of numbers involved . Students can learn :

• How to divide fractions with whole numbers
• How to divide fractions with mixed numbers

Fractions have 2 parts namely the Numerator and the Denominator. The numerator and the denominator can have different types of values. If they consist of variables, they have different properties. Students can learn :

• How to simplify fractions with variables
• How to divide fractions with variables

Significance of Math

Do you what to know what is arithmetic progression:

The arithmetic series is nothing but the addition of the arithmetic sequences. The series of the arithmetic numbers which are given as the sequences. The sequences are to be added to get the series form. The geometric series is nothing but the addition of numbers of the geometric sequences to form the series. Now we are going to see about the arithmetic and the geometric series.

About the Arithmetic and Geometric Series:

We know that the arithmetic series are given as the sum of sequences of numbers. The arithmetic series formula is used to find the certain number of sequences which can be given as follows,

S_n = n(a₁+ a_n)/2

The infinite geometric series are the sum of the arithmetic sequence formula of numbers. The geometric series formula can be determined by using the formula as follows,

S_n = a₁ (1 - rⁿ)/1 – r

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Familiarization with math

Let us learn steps to divide and simplify:

How to divide a fraction is the technique to perform, it only requires multiplication. keep the first fraction as it is when two fractions are dividing and then multiply the first fraction with the reciprocal of the second fraction (i.e. invert of the second fraction). Example: How to divide fractions 1/6 / 7/8 Keep the first fraction 1/6 as it is = 1/6 And then reciprocal the second fraction = 8/7 Need help with linear programming examples 1/6 x 8/7 = (1 x 8)/ (6 x 7) = 8/42 = 4/21.this is after multiplying both the fractions.
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Incerdible Online Math

Introduction to Solve exponential equations

Online Solving makes the student to interact with the online tutors and let them to clear their doubts in solving exponential equation.

Solving it online makes exponential equation is one of the instant types of learning where student can solve the problem easily with the guidance of online educators.

Equation is which has the variables in the exponent. Same log,logarithmic rules are used to find Exponential equation do you want to learn how to calculate pi.

Solving Exponential Equations Online ...

• To find the exponential equation, take log on either sides and solve the variables.
  
• When the base of the exponential equation is equal on either sides, then the equation can be solved by using the property, if b^x = b^y, then x = y, where b > 0 and b ≠ 0.
• Stay Step forward to math

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Do you work out fractions

* If they add six fraction values, when the fractions have same denominator values means adding six fractions done basically. Denominators are same means, they add the numerator. If there is a necessity, simplify the result fraction values.

* When the fractions have different denominator values means convert the denominator in to common denominator by using the L.C.M and then they perform rename the fraction values and add fractions get help with online graphing calculator with table.

* When the fractions have mixed numbers means they add the mixed numbers in six different ways such as converting mixed numbers in to improper fractions and another way they add the whole numbers and fractional numbers separately.
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Precalculus help

Introduction for Linear Programming:

Linear programming solver is the universal method of most favorable part of limited wherewithal such as labor, substance, engine, resources etc., to quite a few competing behavior such as goods, services, jobs, projects, etc, on the fundamentals of known criterion of optimality. The phrase limited at this point is used to describe the availability of scarce resources during planning period. The principle of optimality usually means either performance, return on investments, utility, time, distance etc.

Structure of Linear programming examples:

The LP model contains the following 3 fundamental elements.

• The decision variable that we seek to determine.
• Objective (goal) that we aim to optimize (minimize or maximize )
• Constraints that we need to satisfy.

Formulation of linear programming problem:

The procedure consists of the subsequent chief steps

Step 1: Study the given situation to find the key decision to be made.

Step 2: Identify the variables involved and designate them by symbols x_j (j=1, 2…)

Step 3: Express the feasible alternatives mathematically in terms of variables, which generally are: x_j >=0 for all j for Math Question and Answer.

Step 4: Identify the constraints in the problem and express them as linear inequalities or equation involving the decision variables

Step 5: Identify the objective of the function and express it as a linear function of the decision variables.

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Let us learn about bar graph examples:

In pictograph, we use pictures to represent data. This Process of representing numerical data take more time and it is difficult to compare two items. Here rather than symbols and pictures it is better to use bars. This type of using bars is called bar graph or bar diagram. The bar-graph represents the information by rectangular bars in which a unit square is taken to indicate the value of certain number or quantity. Here, let us know how to draw or how to construct the simple bar graph.

Simple Bar Graph-example Problem :

1. Draw the simple bar graphs for every month expenditures of a family:

items	expenditures
House rent	2000
Food	3000
Education	800
Electricity	400
Transport	600
miscellaneous	600

Solution:
Bar graphs showing the every month expenditure of a family on various items.

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