What Is The Decimal For 7/12 – Convert a fraction to a decimal by entering your fraction below. Read on to see four different ways to convert a fraction to a decimal without a calculator below.
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What Is The Decimal For 7/12
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A number can be expressed as a fraction, decimal or percentage, and sometimes it is necessary to convert between the different forms to represent a number in a different way.
The easiest way to convert a fractional number to a decimal value is to simply divide the numerator by the denominator to get the decimal value. The numerator is the top number and the denominator is the bottom number.
Long division offers another way to convert to decimal form. This is done by identifying the dividend and divisor, then using these values in long division.
First, find the dividend and the divisor. The numerator of the fraction will be the dividend and the denominator will be the divisor.
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Then put the dividend and the divisor in long division form. You will need to add a decimal point and a few zeros as needed if the dividend is less than the divisor.
Another way to convert a fraction to a decimal is to express the numerator as a fraction greater than 100.
When a fraction is above 100, it is much easier to convert the value to a decimal because the decimal number is based on a power of 10 system. It takes a few steps.
First, multiply the denominator to get 100. To do this, you can divide 100 by the denominator to get the factor, then multiply the numerator and denominator by that factor.
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Next, you must move the decimal point two places to the left for the numerator and denominator to simplify the fraction. This will produce a fraction over 1. Since any fraction over 1 is equal to the decimal value, the numerator is your final result.
Another way to convert fractions to decimals is to refer to a conversion chart, like the one below, which shows the decimal values of some common fractions.
Fractions to Decimals Conversion Table showing common fractions and their decimal equivalents. The graph shows fractions with denominators up to 20.
These four methods work for normal and abnormal fractions, but they do not support mixed fractions. A mixed fraction is a whole number before a fraction, like this:
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So when working with mixed numbers, the first step is to convert them to an improper fraction. You can easily convert a mixed fraction into an improper fraction.
First, multiply the whole number by the denominator of the fraction and create a new fraction with the result as the numerator over the existing denominator. Then add the fractions together.
Then, once the mixed number is in the wrong fraction form, you can convert it to a decimal using one of the methods above.
Since decimal numbers and fractions represent the same quantity but in different forms, we can divide the numerator by the denominator, which gives the quotient of the fraction. This is a representation of the same amount!
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Fractions and decimals represent the same quantity, but decimals are more convenient for certain calculations, comparisons, and measurements.
Converting fractions to decimals can be useful in situations where you prefer decimal numbers, such as in communication or science, and for performing mathematical operations or working with measurement values.
All fractions can be converted to decimals. However, not all fractions can be converted to a decimal that ends or ends after a finite number of decimals.
Some fractions have infinitely repeating decimal equivalents, such as 1/3 (which is equal to 0.3333… where the 3’s repeat endlessly). These are called repeating decimals. By dividing the two components of the fraction you can get a decimal, which is another representation of the fraction. It is recognized by a decimal point, which separates its two parts, the fractional part and the whole part.
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Here, we are more interested in the types of division that result in a decimal value, since this can be expressed as a fraction. We see fractions as a way to show two numbers with the operation of division between them resulting in a value between two whole numbers.
Now, we present the method used to solve the said fraction in decimal conversion, called long division, which we will discuss in detail in the future. So let’s review the 7/50 fraction solution.
First, we convert the components of the fraction ie the numerator and the denominator and turn them into the components of the division ie dividend and divisor respectively.
Now we introduce the most important quantity in our division process, this is the quantity. The value represents the solution to our division and can be expressed as having the following relation to the components of the division:
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So we look at the long division solution to our problem, which can be easily understood in Figure 1.
We begin to solve a problem using the long division method by separating the components of the division and comparing them. Since we have 7 and 50 we can see how 7 is less than 50, and to solve this division we need 7 to be greater than 50.
This is done by multiplying the dividend by 10 and checking if it is greater than the divisor or not. And if so, calculate the product of the divisor closest to the dividend and subtract it from the dividend. This produces the remainder which we use as a dividend later.
This will lead to a remainder equal to 70 – 50 = 20, now this means we have to repeat the process by converting the 20 to 200 and solving for it:
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This therefore produces the remainder equal to 200 –200 = 0, which leads us to conclude that the fraction is completely solved.
So, we have a quantity formed after combining its three parts as 0.14 = z, with the remainder equal to 0.
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