What Is 17/20 As A Decimal – 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 counting below.
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What Is 17/20 As A Decimal
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A number can be expressed as a fraction, a decimal, or a percentage, and sometimes you need to convert between different forms to represent a number differently.
The easiest way to convert a fractional number to a decimal value is to simply divide the number 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 identifying the dividend and divisor and then using those values for long division.
First, find the dividend and 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 as many zeros as needed if the dividend is less than the divisor.
Another way to convert a fraction to a decimal number is to express the number as a fraction over 100.
If the fraction is 100, converting the value to a decimal is very easy because decimals are based on the power of 10 system. This requires several 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 in both the numerator and denominator to simplify the fraction. This will create a fraction of 1. Since any fraction of 1 is equal to a decimal value, the number is the final result.
Another way to convert fractions to decimals is to refer to a conversion chart, like the one below, which shows decimal values for other common fractions.
Decimal fraction conversion chart showing common fractions and their decimal equivalents. The chart shows fractions with up to 20 denominators.
All four of these methods work with proper and improper fractions, but do not support mixed fractions. A mixed fraction is a whole number in front of a fraction, like this:
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So, when working with mixed numbers, the first step is to convert them to the wrong fraction. You can convert a mixed fraction to an improper fraction easily.
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 fractions.
Therefore, after the mixed number is in improper fraction form, you can convert it to a decimal number using any of the above methods.
Since decimals and fractions represent the same value but in different ways, we can divide the number by the denominator, which gives the quotient of the fraction. This is a representation of the same value!
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Fractions and decimals represent the same amount, but decimals are convenient for specific calculations, comparisons, and measurements.
Converting fractions to decimals can be useful in situations where decimals are preferred, such as in communication or science, and for performing mathematical operations or working with proportional values.
All fractions can be converted to decimals. However, not all fractions can be converted to a decimal that ends or ends after a limited number of decimal places.
Some fractions have decimal equivalents that multiply to infinity, such as 1/3 (equal to 0.3333… 3 multiplies to infinity). These are called repeating decimals.
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