What Is 19/20 As A Decimal – Convert a fraction to a decimal by entering your fraction below. Keep reading to see four different ways to convert fractions without a calculator below.
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What Is 19/20 As A Decimal
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A number can be expressed as a fraction, decimal or percentage, and sometimes it is necessary to convert the number between different forms.
The easiest way to convert a fraction to a decimal value is to 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 provides another way to convert to decimal form. This is done by specifying the dividend and divisor, then these values are used in long division.
First, find the dividend and the divisor. The numerator of the fraction becomes the dividend and the denominator becomes the denominator.
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Then, put the dividend and divisor in long division form. If the dividend is less than the divisor, you must add a decimal point and a large number of zeros.
An alternative way to convert a fraction to a decimal number is to express the number as a fraction greater than 100.
When the fraction is greater than 100, it is easy to convert the value to a decimal number because the tens of 10 are based on the power of the system. It requires several steps.
First, multiply the dowry by 100. To do this, you divide 100 by the denominator to get the factor, then multiply both the numerator and denominator by that factor.
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Next, you move the decimal point two places to the left for the numerator and denominator to simplify the fraction. This makes a fraction of 1. Since every fraction of 1 equals a decimal value, that number is your final result.
Another way to convert fractions to decimals is to consult a conversion chart like the one below that shows the decimal values of several common fractions.
A fraction to decimal conversion table shows common fractions and their decimal equivalents. The diagram shows fractions with a denominator up to 20.
These four methods work for both proper and improper fractions, but they do not support mixed fractions. A mixed fraction is a whole number before the fraction, like:
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So the first step when working with mixed numbers is to convert them to improper fractions. 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, which is the numerator of the existing denominator. Then combine the fractions.
Then, once the mixed number is in improper fraction form, you can convert it to a decimal using one of the methods above.
Since tens and fractions represent the same quantity but in different forms, we can divide the number by the denominator to find the fractional part. It represents the same size!
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Fractions and decimals represent the same quantity, but the words are more convenient for calculations, comparisons, and specific measurements.
Converting fractions to decimals is useful in communication or scientific fields and in situations where decimals are preferred for performing mathematical operations or working with measured values.
All fractions can be converted to decimals. However, not every fraction can be converted to a decimal number that ends or terminates after a finite number of decimal places.
Some fractions have decimal equivalents that repeat ad infinitum, such as 1/3 (which is equal to 0.3333… and the 3s repeat indefinitely). These are called repeated words. Sometimes it’s easier to use tens when we’re dealing with money, and other times it’s easier to use fractions, like when we’re cooking.
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Tens and fractions are considered different ways to represent a non-integer number.
Represents a decimal “part” using the place values to the right of the decimal point and the whole value to the left. In a fraction, the numerator describes the part and the denominator is the sum.
The key to converting a fraction to a decimal, as noted by MathNet, is long division. So this means that if we can divide, we can turn fractions into tens!
Now all we have to do is follow the rules for dividing decimals and whole numbers; Thus converting our fraction to a decimal.
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Our goal is to convert three to five from a fraction to a decimal. We need to do long decimal division where the dividend is 3 and the divisor is 5.
Similar to our previous example, we want to convert nine-sixteenths to its decimal form using long division.
So, as long as we know how to divide using tens, we can easily convert fractions to tens!
There are times when you need to add, subtract, multiply or divide – this means we need to convert all fractions to decimals or vice versa before doing the operation.
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For example, suppose Edmund’s dog weighs 30.6 pounds and Lucy’s dog weighs 25 1/4 pounds, what is the weight of both dogs?
But these values are not the same, so we must first convert 25 and 3/4 to a decimal to add the two weights.
Sometimes we are also asked to compare fractions to tens or to list values from smallest to largest.
But the problem is that we cannot compare two values unless they are of the same type (ie, all fractions or all tens). So, to compare fractions and tens, we must first convert each fraction to decimal form.
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