Q: Explain one method for comparing a decimal with a fraction?

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You divide the numerator of the fraction by its denominator - using long division (aka the bus-stop method) if required.

You divide 1 by 4: by whatever method you like.

3.1 is a rational number because it is a terminating decimal that can be expressed as an improper fraction in the form of 31/10

1 Method: 7 / 7 = 1 (note: to convert a fraction to a decimal, just divide the top number (numerator) by the bottom number (denominator). Answer 1: 7 over 7 as a decimal would be 1.

You need to divide 1 by 3. This is best done by what is known as the bus-stop method or long division but any method that works is OK. In converting any rational fraction into a decimal, you will find either that the division comes to an end or that it starts to loop back. In the first case the decimal representation of the fraction is terminating and in the second it is recurring.With 1/3 you will get 0.3, 0.33, 0.333 and so on: a recurring decimal. The answer can be given as 0.3 recurring, or you can round it at some suitable place.

Related questions

Divide the numerator by the denominator.

You divide the numerator of the fraction by its denominator - using long division (aka the bus-stop method) if required.

To change .01 into a fraction, we can first write it as a decimal. .01 is the same as 0.01. We then need to convert this decimal into a fraction. To do this, we can use the method for converting any decimal into a fraction. First, we need to multiply 0.01 by 100 to get rid of the decimal point. 100 x 0.01 = 1. Now that we have a whole number and a decimal, we can convert this into a fraction. To do this, we need to place the whole number (1) over the number of decimal places (2). This gives us the fraction 1/100. Therefore, 0.01 can be written as the fraction 1/100.

You divide 1 by 4: by whatever method you like.

An algorithm for finding a unit fraction expression for any fraction is the Greedy Method. To use the Greedy Method on fraction X. Start with the largest unit fraction less then fraction X. Then continue in the same manner to represent the remaining value. 5/8th imperial measure or .625 in decimal.

To write something in rational form means to write it as a fraction. If you are given a negative number in the form of a fraction, it is already in rational form. If you are given a decimal and wish to turn it into a fraction, just use 10, 100, etc as the denominator. In the case of a repeating decimal there is a method but that's another question!

This is actually a question in my Digital Circuits text. Are they kidding? Is there a way to tell that a discrete decimal will have an endless binary equivalent?

move the dec. two spaces to the right and put it over 100 then simplify. or you can follow these to different ways to do it. Method 1:write the decimal using its place value, then simplify. Method 2:write the numbers in the decimal as the numerator. for the denominator put a 1, and then add a zero for each number to the right of the denominator. finally simplify. Example: change 0.85 into a fraction. 0.85 = 85/100

By this method. Put the decimal over 1. 0.2/1 now move the decimal place as for right as needed to make whole numbers; top and bottom. 2/10

3.1 is a rational number because it is a terminating decimal that can be expressed as an improper fraction in the form of 31/10

Answer: 123125/10000 Solution Method: 1. Convert the decimal number into a mixed fraction: 12.3125 = 12 + 3125/10000 2. Convert the mixed fraction to an improper fraction: 12 + 3125/10000 = (12*10000+3125)/10000 = 123125/10000

1 Method: 7 / 7 = 1 (note: to convert a fraction to a decimal, just divide the top number (numerator) by the bottom number (denominator). Answer 1: 7 over 7 as a decimal would be 1.