How to tackle Decimals and Percentage problems?

Previously we have discussed about rational expressions applications word problems and Friends today i am going to teach you one important topic of grade V of karnataka board namely percents and Fractions.A linear array of digits that represents a real number, every decimal place indicating a multiple of a negative power of 10. A number written using the base 10.
For example, the decimal 0.1 = ¹/₁₀, 0.12 = ¹²/₁₀₀, 0.003 = ³/₁₀₀₀

A percent is a ratio whose second term is 100. Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent.
Example  of percents
23/100 =23%, 3/100 = 3%
In math fractions, the denominator tells us how many parts the whole is divided into, and the numerator tells us how many of those parts we're dealing with.the number above the bar is called the numerator, and the number below the bar is called the denominator.
Example :  ¾          3 is numerator and 4 is denominator

Every fraction can be converted to a decimal by dividing. If you use the calculator to divide 3 by 4, you'll find that it is equal to 0.75.
Here is a table of commonly occuring values shown in Percent, Decimal and Fraction form:

                                 Percent                   Decimal                  Fraction
                                 1%                                  0.1                     1/100
                                 10%                                0.1                     1/10
                                75%                                 0.75                    3/4

Conversions from Percent to Decimal
Percent-to-decimal conversions are easy; you mostly just move the decimal point two places. The way I keep it straight is to remember that50%, or one-half,. In other words, you have to move the decimal point two places to the left when you convert from a percent (50%) to a decimal (0.50). divide by 100, and remove the "%" sign. (Know more about Percentage ,click here),
Some more examples are
27% = 0.27
104% = 1.04
0.5% = 0.005
To convert from decimal to present in divide by 100, and remove the "%" sign. The easiest way to divide by 100 is to move the decimal point 2 places to the left.
Example
0.123 = 0.123/100 = 12.3
To convert fromFraction to Decimal the easiest way to convert a fraction to a decimal  is to divide the top number by the bottom number (divide the numerator by the denominator in mathematical language)
Example: Convert ²/₅ to a decimal
Divide 2 by 5: 2 ÷ 5 = 0.4
Answer: ²/₅ = 0.4
To  convert a decimal to fraction  needs a little more work.
Example: To convert 0.75 to a fraction
First steps =0.75/1
       ^{=   0.75 × 100}/ _{1 × 100}     Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc)
  = ¾
To convert from fraction to percentage is to divide the top number by the bottom number than multiply the result by 100 and add the % sign,
Example: 38
First divide 3 by 8: 3 ÷ 8 = 0.375,
Then multiply by 100: 0.375 x 100 = 37.5
Add the "%" sign:     and the answer is  37.5%
To convert from percentage to fraction first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).
Example 80% to convert in fraction
80/100 =0.80
^{0.8 × 10}/ _{1 × 10}   Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc)
And the answer is =8/10 = 4/5
So here we end with Decimals, percents and fractions. I hope that this article will help you in solving problems Decimals, percents and fractions and If anyone wants to know about Percentages in Grade VI and also about LCM, GCF, ratios and proportions then they can refer Internet.

Compare and Simplify Fractions in Grade V

Hi friends, in today's session we all are going to discuss about one of the most interesting topic of mathematics that is Fractions, Types of Fractions, Compare and how to simplify fractions which comes under west bengal board of secondary education syllabus. Basically when we divide an object into a number of equal parts then each part is known as fraction. A fraction consists of an integer(what are the rules for adding and subtracting integers) numerator and a denominator. The denominator must be non-zero. The numerator shows a number of equal parts and the denominator shows how many of those parts make up  whole . For example 5/7 is a fraction in which the numerator 5 tells us the fraction indicates 5 equal parts and the denominator 7 tells us that 7 parts equal a whole. There are three ways of writing a fraction that are a common fraction, a decimal and a percentage. Now we are taking an example which shows these three ways. One fourth of an object can be written as,To know more about fractions click here
a common fraction=1/4
a decimal =0.25
a percentage 25%.
Always remember one thing, denominator can never be 0.
Now I am going to discuss about the types of fraction. There are three types of fractions that are proper fractions, improper fractions and mixed fractions. These are explained below,
in proper fraction numerators are less than the denominators. For example in fraction 3/4, the numerator is less as compared to the denominator. This is called proper fraction.
In improper fraction the numerator is either equal to or greater than the denominator. For example 7/5, 13/5, 5/3 etc. are not proper fractions. These are improper fractions. The fraction 5/5 is also an improper fraction. 13/10, 13/4 are the examples of improper fractions. The numerator is greater than the denominator. These types of fractions are called improper fraction.
Every natural number is an improper fraction because they can be written as a fraction in which 1 is its denominator. For example, 3 = 3/1, 35 = 35/1, 63 = 63/1, etc.
Mixed fraction is a combination of a whole number and a proper fraction is called a mixed fraction. 11 1/3,101 7/10 and 76 7/11 are the some examples of mixed fraction. In other words mixed fraction contains two parts that is a natural number and a proper fraction e.g. 34  4/5, 53  3/4, 12  1/5 etc. Now the properties of mixed fraction,
Property 1: When we convert it into an improper fraction then we multiply the natural number by the denominator and add to its numerator. The new numerator over the denominator is the required mixed fraction.
Property 2:  When we divide the numerator by the denominator we get the quotient and remainder then the quotient is the natural number part and the remainder is the proper fraction part of the mixed fraction.
Now we were doing the comparison and simplification of fractions. When we want to know that which fractions is large or small then we need to compare those fractions and for the purpose of comparison we just simplify those fractions. To understand this, I am taking an example that is we will compare 2/5 and 3/8 for which fraction is bigger. We need to convert each fraction to decimal that is 2/5=0.4 and 3/8=0.37. So, the bigger fraction is 2/5.
This article gives the brief information about fractions and their types. If you want to know more about Order of Operations in Grade V and also Estimation of Solutions in Grade VI you can visit many website. These websites also provide solvers where you can solve your problems.

Fractions in Grade V

Hello friends, in this chapter of mathematics we are going to learn about the fractions of the numbers taken from school education Karnataka board. We will learn that how to simplify fractions and also learn about all of the types of fractions.
In term of definition, the Math fractions are the part of any number. Fractions are the number in the form of some numerator to some denominator. Both numerator and denominator are integers in nature. They are like a rational number in mathematics and are in the form of a / b. The numerator part shows the parts and the denominator shows the whole part that can make the whole number by combining them. For example, 3/2 has numerator as 3, shows that the fraction 3/2 has three equal parts and denominator as 2 means two same quantities will form the whole number. Fraction numbers can also be represented in the form of decimal number and by the use of negative exponents. So decimal numbers are also a type of fraction which are found by the decomposition or simplification of the fractional numbers. The decimal fractions always are as that they have the denominator in the power of ten. For example, 0.2 represents the fraction 2/10 or that also equals 1/5, and 0.75 represents the fraction ¾ and each are the simplified number found from the fractional numbers.
Now talking about simplification of the fraction number. Let me first introduce you with the types of fractions. So there are three different types of fractions. They can be listed as:
1.       Proper fractions: Proper fractions are the fractions whose numerator term is less than that of denominator number, for example: ¼ is a proper fraction because numerator value is smaller than that of denominator value.
2.       Improper fractions: These are the fractions which has numerator value larger than that of denominator value of the number. For example: 5/2 is a improper fraction because numerator value is greater than that of denominator value.
3.       Mixed fraction: Mixed fraction is the third type of fraction, which is mixed because it is represented in the form of some simplified form of the improper fraction. Some of the improper fractions can be simplified in the form of proper fraction with a whole number. These proper fractions with integers are termed as the mixed fractions. For example 22/3 can be written as  in figure:

Now talking about the simplification of the fractions, so the simplification of the fraction involves the reduction of the fractional number in to simple form. For example say any fraction 3/9 can be reduced to 1/3. To do this, we have to find the greatest common factor (GCF) from both the numerator and denominator and then we divide both by the GCF until there are no any more common factors in both numbers. The improper fractions get simplified by different ways. We have to change these numbers in the mixed fraction for simplification. For example: 25/7 can be written as:  .

In next post we will talk on Operations on Fractions in Grade V. For more information on Chain Rule, you can visit our website