I don’t understand the question
I don’t understand the question
0.015 We notice that threre are three digits in the decimal. So we write 0.015 / 1.000 Notice we place it over '1.000' ; three digit zeroes. Cancel down the decimal point 0.015/1.000 = 0015/1000 The prefix zeroes to '15' are trivial an can be discarded. Hence 0015/1000 = 15/1000 Since both both numbers end in '5' or '0' they will reduce by '5' Hence 15/1000 = 3/200 Since '3' is a prime number this will not reduce any further. Hence the answer is 0.015 = 3/200
One hundred forty three 143. (notice the decimal point after the three)
No. An integer is a whole number such as 2, 10, or 12. A decimal is, as its name suggests, not a "whole" number. It's a number and a supplementary fraction or value.
43.75% (Since it's a percent, divide by 100) 43.75/100 (notice there is no decimal point, since it's in fraction form) (get rid of decimal points by multiplying top and bottom by 100) 4375/10000 (divide by 5, since you can see that they have a common term of 5) 875/2000 (divide by 5) 175/400 (divide by 5) 35/80 (divide by 5) 7/16 Thus, 43.75 percent converted into a fraction is 7/16ths
I don’t understand the question
Notice the pattern. 0.7 repeating = 7/9 0.57 repeating - 57/99 0.357 repeating = 357/999
They are 100
22/7 is the older fraction approximation. 355/113 is a newer fraction. Notice it uses easy to remember numbers 113355. Neither one is exact because Pi is an irrational number. That means it can not be expressed as a fraction or a repeating decimal.
The numerator and denominator are equal to the same value.
The decimal value will be greater than 1, and the percent will be greater than 100%.
The larger fraction is the one with the smaller denominator, when the numerators are the same.
The decimal equivalent terminates if and only if the denominator (of the simplest form) is 2a5bfor some non-negative integers a and b. In all other cases the decimal form is recurring.
If you did not, then the number would start wit a decimal point and it is more easy to not notice the decimal point.
There are two methods here. The essential elements appear to be the same. Repeating decimals can be converted into fractions by the use of simultaneous equations. The trick is to identify how many numbers or decimal places are involved in the "repeating part" of the repeating decimal. Let's do one, and let's make it a familiar one. We'll take 0.3333333... which is 1/3 as you already know. First, there is only one digit that repeats. It's the 3. So we'll need to set up two equations, and the first one is that X = 0.3333333... In that equation, "X" is the decimal equivalent of the number. Now we'll create a second equation to do the simultaneous equation thing. Since there is only one digit that repeats, we're going to move the decimal one place by multiplying that whole equation by 101 which is 10. [X = 0.3333333...] x 10 = 10X = 3.333333... Notice that both sides of the equation were multiplied by 101 here. This is key. We are going to have to multiply our repeating decimal by a factor of 10 that shifts all of the repeating sequence to the left of the decimal. If we'd had 0.47474747.... for our fraction, we'd have had to multiply the equation by 102 because the "repeating part" there, which is '47' is two digits long. If it had been 0.5678567856785678.... we'd be stuck multiplying by 104 because the "repeating part" there, which is '5678' is four digits long. Back to our problem at hand. The 10 times "X" equals 10X and the 0.3333333 times 101 = 3.333333... Now we have two equations, and we're going to subject one from the other. So let's do that. 10X = 3.333333... X = 0.3333333... 10X - X = 9X, and 3.333333... - 0.3333333... = 3 Notice how the "repeating part" of the decimal "dropped out" or "disappeared" there? That's why we built two equations and subtracted one from another. We need to get the "repeating part" to get lost. Look at what's left. It this equation: 9X = 3 Can you handle that? Sure you can. Divide both sides by 9 and you'll have X = 3/9 which reduces to 1/3 and presto! Problem solved. If we'd done 0.474747474747... it would look like this: X = 0.474747474747... 100X = 47.4747474747... Note that we multiplied by a factor of 10 enough to shift a "whole block" of the repeating part to the left of the decimal. Now subtract the top equation from the bottom one. 100X = 47.4747474747... X = 0.474747474747... 100X - X = 99X and 47.47474747... - 47.4747474747... = 47 99X = 47 and X = 47/99 As 47 is a prime number, we can't reduce this fraction. There are some simple rules that apply when converting any repeating decimal to a fraction. First we'll perform the "construction" of an initial equation where we set the fraction ("X") equal to the repeating decimal. Then we'll "manufacture" a second equation from the first by multiplying the first equation by 10n where n = the number of digits in the "repeating part" of the repeating decimal so they all kick over to the left of the decimal. Then we solve the simultaneous equations, and lastly reduce our fraction. Try a few and you'll be able to slam dunk this bad boy every time you see it. This is made quite easy with the following observations:5/9 = 0.55557/9 = 0.777712/99 = 0.12121223/99 = 0.232323456/999 = 0.45645645678/999 = 078/999 = 0.078078078So we can see that fractions with a denominator of 9, 99, 999, 9999, are pretty useful for making repeating decimals. All we have to do is to reduce the fraction to its lowest terms. For example, let's take the repeating decimal 0.027027027...Clearly this is 27/999 = 1/37 (having divided top and bottom of the fraction by 27)Now let's try something more tricky. Take a look at 0.4588888888...This isn't simply something divided by 99.. since the 45 bit doesn't repeat. What we need to do is move the decimal point over to the start of the repeating bit. In this case we multiply by 100 to get 45.888888...Now we know the fraction part is 8/9. In total we have 45 + 8/9 = 413/9 (changing into a top-heavy fraction will make things easier for us).So 45.88888... = 413/9Now just divide both sides by 100 to get:0.458888... = 413/900
Every fraction is a rational number, but not every rational number is a fraction.A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).*A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.Both 22/7 and 1/3 are fractions, therefore they are both rational numbers. They also are repeating decimals, as 22/7 = 3.142857142857142857... (notice that the 142857 repeats) and as 1/3 = .333...An irrational number, on the other hand, neither terminates nor repeats.(The confusion about 22/7 may come because that fraction is often used to represent the number pi. It is not the number pi, just an approximation. The number pi is a decimal that begins 3.1415... and continues on without terminating or repeating. )But even though every fraction is a rational number, not every rational number is a fraction. Basically because rational numbers do not have to express a part of a whole. It can express a whole, as in an integer. And an integer is not a fraction.
To find the decimal form of 60.2 % divide 60.2 by 100. Now reduce it to its lowest fraction form. I have described the working below. 602/1000 301/500 now we notice that we cant factorise it further. Thus fraction form of 60.2 % is 301/500.