world use fractions, mixed numbers and decimals often, without even thinking around it. Because that instance, once you watch a revenue price, you could mentally calculation the savings by transforming a percent right into a decimal, then into a price. Cooks use fractions as soon as calculating recipes. In fact, much of life entails fractions, which may be expressed as a mixed number – describe wholes and also parts that a totality – or together a decimal. Take it 5/6 together an example; climate you have the right to generalize the process to various other fractions.

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Convert the portion 5/6 come a mixed number by including the interpreted number in prior of the fraction. A mixed number is any whole number v a portion portion. If the top number – the numerator – were bigger than the reduced number – the denominator – additionally known together an not correct fraction, you would certainly divide the denominator right into the numerator and calculate how plenty of times the goes in, bring about a entirety number. The remainder, what is left after developing your totality number, is climate expressed as a portion over the initial denominator. Yet 5/6 is a proper fraction with a bigger denominator. In this instance, there is an construed "0" in prior of the fraction. Expressed as a fraction, 5/6 = 0 5/6.


Write 5/6 together the combined number 0 5/6. Leave the 0 turn off unless specifically notating a blended number, however.


Divide the numerator, 5, by the denominator, 6, to express the portion 5/6 as a decimal. You deserve to do this on one of two people a calculator or using long division by hand. The answer will equal 0.83333 through the number 3 repeating endlessly. This is well-known as a repeating decimal.


Write the answer as "0.83" with a bar end the 3, representing a repeating number. Alternatively, in some situations you might round the number down or increase – return this will be much less accurate – or write the 3 out to a given decimal place. Because that instance, rounded down, the prize is 0.83 or also 0.8; composed to 3 decimal places, the price is 0.833.


Use the rules for converting a fraction to a decimal by recognize a number that, when multiplied by the denominator, results in a lot of of 100. Multiply both the numerator and denominator by this number, then create down the numerator, inserting a decimal one an are from the right for each zero in the denominator. If the number will certainly not same divide into 10, 100, 1,000 or higher, as in 5/6, almost right the number to multiply with. For instance, use 17 to multiply 5/6. The an outcome is 85, and there are two zeros in 100. So, the answer is 0.85 – fairly close to the really answer. Notate effectively to answer.

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recognize the prestige of the case to decision if a turbulent answer will work when converting a portion to a decimal, or if the answer needs an ext precise calculations. Check answers require exact answers unless otherwise indicated.

Karie Fay earn a Bachelor of science in psychology with a boy in legislation from the university of Arkansas at Monticello. After growing up in construction and also with an ext than 30 years in the field, she believes a girl have the right to swing a hammer v the ideal of them. She enjoys "green" or fix up solutions and also unusual construction.