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When the Denominator of a proper fraction is 99 what do you notice about the repeating digit in its decimal form?
I don’t understand the question
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What the Denominator of a proper fraction is 99 what do you notice about the repeating digit in its decimal form?
I don’t understand the question
What is 1.1666666666667 as a fraction?
7/6To convert - 1.1666666667 to a fraction:1. Let x = 1.16666666672. The repeating digit is 6.3. Place the repeating digit to the left of the decimal point.In this case, move the decimal point 1 place to the right by multiplying it by 10.Thus,(x = 1.666666667) * 100100x = 116.6666667 - equation (1)4. Place the repeating digit to the right of the decimal point.In this case, move the decimal point 2 places to the right.Thus,(x = 1.1666666667) * 1010x = 11.666666667 - equation (2)5. Subtract Eq.(2) from Eq.(1)100 x - 10x = 116.6666667 - 11.66666666790x = 105divide both sides by 90x = 105/90 or 7/6
How do you write 1.2 in its simplest form as a fraction?
To write 1.2 in its simplest form as a fraction, we first note that 1.2 is equivalent to 1 and 2 tenths, or 1 + 2/10. To simplify this fraction, we need to find a common factor between the numerator (2) and the denominator (10). Both 2 and 10 can be divided by 2, resulting in 1 + 1/5. Therefore, 1.2 in its simplest form as a fraction is 1 1/5.
What is the simplest form as a fraction 0.015?
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
Are decimals integers?
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.
What the Denominator of a proper fraction is 99 what do you notice about the repeating digit in its decimal form?
I don’t understand the question
How would you write a recurring decimal as a fraction?
Notice the pattern. 0.7 repeating = 7/9 0.57 repeating - 57/99 0.357 repeating = 357/999
What is 0.33333 this in fraction form?
0.33333 . If this is a terminal decimal then as a fraction it is 33333/100000 However, if it is a repeating decimal to infinity, then it should be written as 0.33333... ( Notice the dots after the last number; this indicates it is a repeating to infinity decimal.) To converto a fraction. Let P = 0.33333.... Then 10P = 3.33333... Subtract 9P = 3. 0 = 3 ( Notice the repeating decimal digits subtract to zero). Hence 9P = 3 P = 3/9 Cancel down by '3' P = 1/3 ( The answer). 0 0
What do you notice about the values in the percent column when the numerator is equal to the denominator in the fraction column?
They are 100
What is the frational equivalent of the approximation of pi?
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.
What pattern do you notice in a fraction that is equivalent to 1 whole?
The numerator and denominator are equal to the same value.
What does 0.238095238 look like as a fraction?
The decimal 0.238095238 is a repeating decimal. To convert it into a fraction, notice that the repeating part is 238095. Here’s how to convert it: Let: x=0.238095238095238… Multiply both sides by 1,000,000 (since the repeating part is 6 digits long): 1,000,000x=238095.238095238095… Now subtract the original equation 𝑥 = 0.238095238095… from this: 1,000,000x−x=238095.238095238095…−0.238095238095… 999,999x=238095 x= 999999 238095 By simplifying this fraction, divide both the numerator and denominator by their greatest common divisor (GCD), which is 21: x= 999999÷21 238095÷21 = 47619 11338 So, the fraction form of 0.238095238... is: 47619/11338
When the numerator is greater than the denominator what do you notice about the values for decimal and percent?
The decimal value will be greater than 1, and the percent will be greater than 100%.
What can You noticE about comparing 2 fractions when the numerators are the same?
The larger fraction is the one with the smaller denominator, when the numerators are the same.
What is 1.1666666666667 as a fraction?
7/6To convert - 1.1666666667 to a fraction:1. Let x = 1.16666666672. The repeating digit is 6.3. Place the repeating digit to the left of the decimal point.In this case, move the decimal point 1 place to the right by multiplying it by 10.Thus,(x = 1.666666667) * 100100x = 116.6666667 - equation (1)4. Place the repeating digit to the right of the decimal point.In this case, move the decimal point 2 places to the right.Thus,(x = 1.1666666667) * 1010x = 11.666666667 - equation (2)5. Subtract Eq.(2) from Eq.(1)100 x - 10x = 116.6666667 - 11.66666666790x = 105divide both sides by 90x = 105/90 or 7/6
What relationship can you notice between the fractions and the decimal equivalent?
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.
How do you convert repeating decimal into a fraction?
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
