Subtracting Mixed Numbers

In Previous section we have discussed about lowest common denominator
and In today's session we are going to discuss about Subtracting Mixed Numbers, All the mathematical operators can be performed on the mixed fraction numbers by converting them in the form of improper fraction numbers.  In order to learn Subtracting Mixed Numbers, we will learn about the conversion of the mixed fraction into improper fraction.  We need to check that the fractions are like fractions or not. Now in case the two improper fractions are like fractions, then we say that the difference between the numerators will be take and the same denominator will be placed as the denominator of the answer. Now in case the two improper fractions are unlike, whose difference is to be calculated, then we say that we will first convert the two improper fraction numbers into the like fractions. For this we will find the LCM of the two denominators and we will make the denominator of the two fraction numbers equal to the LCM of the two numbers.
Thus in this way we will get the denominator of the two fractions same and thus we can now find the difference of the two fraction numbers. Finally when we get the fraction between the two fraction numbers, we will check that the fraction so received will be a proper fraction or improper fraction. If in case we find it as a proper fraction, then we will convert it to its standard form. In case we get the result in form of the improper fraction, we will convert it in the form of the mixed fraction. SO  we will first recognize the  question and then we proceed for  the solution of the  difference of the  two  mixed fraction numbers. Algebra worksheets will help you to get confidence before entering into examination hall. To know about the Syllabus For Class 8th Cbse, we visit online portal and get  the  support  to know the syllabus of  all the subjects.

lowest common denominator

Ever heard of the word denominator? Let us recall that denominator is associated with fractions. A fraction, as we have already learnt has two parts, a numerator & a denominator. A fraction is expressed as Numerator / Denominator.
Also, we will refer to another term LCM here, which is the least common multiple. LCM can be found when we have at least two numbers whose multiples are listed.
Then, what is lowest common denominator? To understand the concept of lowest common denominator, let us recall that fractions may be like or unlike fractions. The fractions are like when they have the same denominator & on the other hand, they are unlike if they have different denominators.
Also, to use the mathematical operations of addition & subtraction on fractions, we need to have like fractions. What when the fractions to be added or subtracted are unlike? In such situations, we first find the LCM of the denominators of the unlike fractions. Such LCM of the denominators is called lowest common denominator.
The lowest common denominator infractions is useful in making the fractions like , by converting the given unlike fractions to fractions with same denominator , which is done by changing the unlike fractions to equivalent fractions , all with lowest common denominator as the denominator .
For example: To add the fractions 2/7 , 3/5 , 5/10 ; we first need to make their denominators same . This can be done by finding the LCM of the denominators of all these fractions, viz., 7, 5 ,10 which comes to 70 . Thus, 70 is the lowest common denominator of the given fractions & the equivalent fractions will be given by:
                                                   2/7= (2*10)/(7*10) = 20/70
                                                   3/5= (3*14)/(5*14) = 42/70
                                                   5/10= (5*7)/(10*7) = 35/70
So, now we have the fractions with same lowest common denominator.
Go online for more help on 4th grade math & also for cbse class 8 syllabus and In the next session we will discuss about Subtracting Mixed Numbers.

math help online

Math tutor online is always available to solve the problems related to math. We learn the about integers by math help online.  Integers are the numbers which contains positive, negative numbers and a number zero.  Integer numbers are countless and if we draw the integers on the number line, we observe that the integers extend in both the directions representing all positive and negative integers such that the number zero lies in the middle of positive and the negative numbers. All the positive numbers lies on the right of zero and the negative numbers of the number line lies on the left of the zero.  Thus we also conclude that every integer number has a successor and the predecessor. To get the successor of any of the integer number, we will add 1 to the given number, whose successor we need to find. In the same way we are able to find the predecessor of any number by simply subtracting 1 from the given number. If we need to add any number to the given integer, then we move to the right side of the number line by the number of steps mentioned. Suppose if we have the question:
Add 3 to -7, it means we move  towards  right starting from -7, for 3 steps and thus we get :  -6, -5, -4 and thus -4 is the solution to the given problem.
In the same way if we need to subtract any number from the given number, we will move towards the left on the number line by the given number of steps. Eg :
 Subtract 2 from -5, so we move 2 steps to left starting from -5 and the result we get is -7.

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In upcoming posts we will discuss about online math tutor help and Fractions in Grade V.

online math tutor help

Let us recall that algebra is the branch of mathematics which deals we come across two quantities, viz. , constants & variables .  Whereas a constant is a fixed value; a variable take different numerical values. These constants & variables are related to each other with the help of different mathematical operations of add, subtract, multiply & divide.  Such a relation of constants & variables is called an algebraic expression. The constants & variables ,  when combined with the operation of multiplication or division form the terms of the algebraic expression & such terms are , in turn , separated from each other by addition (+) or subtraction (-) . Example : 2x-3y+xy -8 is an algebraic expression whose terms are 2x , -3y , xy and -8 .
Depending on the number of such terms in an expression, the algebraic expression may be categorized into the following groups:
Monomials: “Mono” means one. So an expression with just one term is called a monomial . e.g. , 3y , 2xy , 7 , 5z are monomials .
Binomials: “Bi” means two. So an expression with two terms is called a binomial . e.g. , 3y - 2xy , 7 + 5xz are binomials .
Trinomials: “Tri” means three. So an expression with three terms is called a trinomial . e.g. ,12x+ 3y -6 , 2xy + 7 - 25z are trinomials .
Polynomials: “Poly” means more than one . So an expression with more than one term or in other words, with two or more terms is called a polynomial . Binomials & trinomials are a part of polynomials.

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Possible outcomes

When we talk about the possible outcomes it is the part of the probability (also read on Binomial Probability Distribution) that means how many ways for an event of occurrence. It is defined in the term as if there is an experiment or collection of experiment then there will be many possibilities for occurrence of different types of outcomes that are defined through the probability .This can be explained through the examples as :
Example (1) : If we toss a coin then there will be maximum two possibilities of occurrence of events that are head and tail .
Example (2) : If talk about rolling a dice then there will be possible six outcomes that are occur.
Example (3) : If We draw a card from a deck of cards as well as draw three cards form deck of cards .
Example (4) : If a bag having the different colored marble balls then there are various possible outcomes of drawing a marble .
So these above are some examples of events (also read on combined events probability) that have some different kind of outcomes at different time.
We can elaborate these examples as if talk about rolling a dice then there will be six possible outcomes that are 1 , 2 , 3 , 4 , 5 and 6 and as we define that a coin have two faces so there will be maximum two outcomes when toss it .
As well as In a regular deck of cards there will be 52 cards then if choose a card from the deck of card then there will be 52 possible outcomes and each time they choose card will be different.
If we talk about the example of rolling a dice of two colors as red and green then there will be 36 possible outcomes for that experiment.


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Mean

In statistics we define the term mean . Now What is a Mean? It is the part of the mathematics in which we define the central value for the given set of data values .Mean is a concept that define the one value that represent the whole set in terms of single value .Sometimes it is also called as the average for the given set of data .When we talk about the average of the values is also known as the arithmetic mean that is define as the sum of the all values in the given data set that is divided by the number of values in the data set .
If there is five values in the given data set that are n1 , n2 , n3 , n4 and n5 then the average or arithmetic mean is defined as the formula
Mean = sum of all values / number of values = (n1 + n2 + n3 + n4 + n5 ) / 5 .
If we talk about the types of mean then there are three types of mean in the statistics that are named as:
(I) : arithmetic mean
(II) : geometric mean
(III) : harmonic mean
As we discuss above normally arithmetic mean is define as the average value or standard average.
When there is talk about the geometric mean then it is calculated by multiplying all the terms .This types of mean are used for calculation of growth rates.
Geometric mean g = ( ∏ⁿ _i=0 g _i ) ^{1 / n} .
When some relation is define between the units of set of numbers then there will be use harmonic mean.
When we talk about the use of the mean it is mainly helps in probability that is also known as the mean in probability. for more information on mean visit here

In upcoming posts we will discuss about Possible outcomes and Decimals Percents, and Fractions in Grade V. Visit our website for information on accounts syllabus for WB 11th class

Possible combinations

Probability (also read about Permutation and Combination) is a concept of mathematics which works based on the logical ability. It means that probability is a concept which is used to estimate the outcome of several numbers of procedures. Suppose there is a work which is done by any person again and again, then the question is how to we calculate the outcome of the work. At that time we use the concept of probability. In the mathematical definition we can say that if an event can occur in n ways and a particular result can occur in m ways, then the probability of the particular result occurring is m / n. Play probability of compound events worksheet
Suppose there is a boy, who tossing a coin then there is a two possible outcome. These possible outcomes are Head and tails. In the same aspect we can say that there is a die which is thrown by somebody then there is a six possible outcome which is one, two, three, four, five and six.
Suppose in the case there is a boy who throws the two dies together at a time. Then the possible outcome will be thirty six. It means that there are thirty six possible outcomes form throwing the two dies together. The collections of all estimation of these possible outcomes are known as possible combination. Possible combinations are the collection of total number of possible outcome which defines that what will be the outcome form the event. It means that an event generate the outcome form the available list of possible outcome. Now we show you the some of the example that helps in understanding the concept of possible combinations:
Example: Suppose in the game of playing card, a card is picked up from the pack of card. Now we need to find what will be the possible combination of the outcomes for the red card by applying possible combinations formula?
Solution: As we know that there are only thirteen red cards are available in the pack of playing cards from one to king. Then the possible combination of picking a red card is only thirteen cards. So we can say that the possible combination for a particular game event is thirteen. In the next session we are going to discuss Grade IV, Bar or line graphs.

In upcoming posts we will discuss about Mean and Multiplication and Division in Grade V. Visit our website for information on Andhra Pradesh geography question paper