Algebra expression is directly related to the algebraic equations and polynomial equations. In the equation, you have one or more than one unknown, but the values cannot be determined when there is no equation including same unknown. The algebraic equations are most probably used to find the variables values to make both the side equal. For example, you have algebraic equation such as
4x + 8y = 18
And other one is, 3x+ 4y = 14,
Now, you have to find the value of x and y respectively. To find the values of unknown, you must know mathematical operations such as addition, subtraction, multiplication, and division.
To solve this algebra expression, apply subtraction operation on the both. In subtraction, only same variables can subtract. That means the 4x may subtract from 3x and similarly, 8y subtract from 4y. The constant value subtracts from a constant value of other equation.
Note that, before subtracting the equation, it needs to make the variables same. That means if we do not make the values same, then we have the equation in which both unknown are available. Then we can never find the value. To avoid this complexity in algebra expression, multiply the number with both the equation. It is not difficult to find the number to multiply in an equation. Find the unknown which you want to eliminate. Then select the number according to it. You want to eliminate x from both the equation then multiply equation one by 3, and another one is 4.
Now you have new equations as,
12x + 24y = 54
And, second one becomes, 12x + 16y = 56
Now you have the option to eliminate the variable x from the equation. For this, you need to subtract equation one from two. Then you have a new equation which has only one unknown because the second one has eliminated.
You have, 8y = -2,
Don’t you worry if you have answered in negative because in algebra expression; you have to face lots of questions that include negative value? It is easy to find the unknown if you have only one unknown. Divide both the side of an equation by 8, and you will get the value of y.
You have, y = -1/4
After getting the one variable’s value, you have to find another one. Now put Y’s value on anyone equation in which x is present. Consider equation one,
4x + 8y = 18,
When putting the value of y,
You have, 4x – 2 = 18
Not transfer the constant value to the right side. Then you have,
4x = 20,
Divide both the side by 4, and you have x = 5
In algebra expression, you need to face various difficulties which are solved by considering important factors. The application of algebraic equation helps to know the certain results. To solve the difficult expression, you need to practice more and more. More the practice takes you to be expert in solving the algebraic equations. The basic of algebra is simple but difficult to solve their application. Regular practicing can make you perfect in algebra expression-solving.
Mathematics is the subject that is tough, but interesting. Many people face a problem with many topics of the mathematics. If you found it difficult to solve the fraction to decimal problems, you should read the steps explained further to solve such problems. Firstly, you should know what is a decimal or fraction number. A decimal number is a number that has a decimal point, and it is a number of base-10 number system. For example 10.0, 0.45, 1.75 is the decimal numbers.
There are commonly three types of the fraction. It includes a proper fraction, improper fraction, and the mixed fraction. If the numerator is less than the denominator, then it is called as a proper fraction, for example, 5/8. On the other hand, if the numerator is greater than the denominator, then it is called as the improper fraction, for example, 4/3. Mixed fraction has a whole number as well as a fraction.
It is true that we are living in a modern world and we have the calculators in computers and mobile phones. Anyone can easily calculate the fraction form of a decimal number. But you should know the manual method of solving the fraction to decimal problems. You can easily solve such problems by following these easy steps.
The easy steps to convert a fraction to decimal number with an example
• Step 1: you must have to find a number that you can multiply by the number at the denominator place of the fraction. So, it can convert the number at denominator to 10, or 100, or 1000 and so on. We will take an example here as 5/4. So, you should find the right number that will make the denominator of this fraction that is 4 to 100 on multiplication. You can’t make it 10 as it is not a multiple of 4. So you have to find a number which you can multiply to 4 to make 100 at the denominator. You can multiply 25 by 4 so you can make it 100.
• Step 2: The next step is to multiply both the numerator and denominator by that number. In this example, you have to multiply 5 and 4 by 25 so you will get a result as 125/100. It is an important step to finding a correct answer of any fraction to the decimal problem. If you want a proper solution, you must multiply correctly.
• Step 3: the last step is just to right down the numerator number by correctly putting the decimal point in the right spot. In this example, you have to place a decimal point after two spaces from the right side due to the reason that there are two zeros in the denominator. So the correct decimal of the fraction 5/4 is 1.25.
Thus, these are the simple steps that are applicable for both the improper and proper fractions. The example given with these steps helps to get a good idea about it. If you practice some more problems of the fraction to a decimal by using these steps, your concept will be clear. You can then easily solve any problem on this topic.
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