What Is 7/12 As A Decimal – Convert the fraction to a decimal by continuing to enter the fraction. Read on to see four different ways to convert a fraction to a decimal without a calculator.
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What Is 7/12 As A Decimal
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Convert 7/12 To A Decimal
A number can be expressed as a fraction, a decimal, or a percentage, and sometimes you need to convert from different forms to represent the number differently.
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 determining the dividend and the divisor and 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 divisor into long division form. If the dividend is less than the divisor, you will need to add a decimal point and as many zeros as needed.
An alternative way to convert a fraction to a decimal is to express the numerator as a fraction beyond 100.
When the fraction is 100, converting the value to decimal is much easier because the decimal parts 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 quotient, then multiply the numerator and denominator by that quotient.
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You must then 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 each fraction of 1 is equal to a decimal value, the numerator is your final result.
Another way to convert fractions to decimals is to consult a conversion table, such as the one below, which shows the decimal values of several common fractions.
Fraction-to-decimal conversion chart showing common fractions and their decimal equivalents. The graph shows fractions with denominators up to 20.
All four of these methods work for proper and improper fractions, but do not support mixed fractions. A mixed fraction is a whole number before a fraction, for example:
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So when working with mixed numbers, you first need to convert them to an improper fraction. You can easily convert a mixed fraction to an improper fraction.
First, multiply the whole number by the denominator of the fraction to create a new fraction, the result being the numerator over the existing denominator. Then add the fractions.
Then, when the mixed number is in improper fraction form, you can convert it to a decimal number using any of the methods above.
Since decimals and fractions represent the same quantity but in different forms, we can divide the numerator by the denominator to find the factor of the fraction. It’s the same amount of screen!
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Fractions and decimals represent the same number, but decimals are more convenient for certain calculations, comparisons, and measurements.
Converting fractions to decimals can be useful in situations where a decimal is desired, such as in communication or science, as well as when 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 ends with a finite number after the decimal point.
Some fractions have decimal equivalents that repeat ad infinitum, such as 1/3 (which is equivalent to 0.3333… with 3s repeating ad infinitum). These are called repeating decimals.
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