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To convert a decimal to a faction in its simplest form depends on the decimal:
1) If it is a terminating decimal, place the decimal over a 1 followed by the same number of 0s as digits in the decimal and then divide top and bottom by common factors until their only common factor is 1 - these divisions can be done in one step by dividing by their highest common factor. Every digit after the decimal point counts, including zeros between the decimal point and the first non-zero number.
eg 0.75 has 2 digits after decimal point → 0.75 = 75/100 = 15/20 (divide by common factor 5) = 3/4 (divide by common factor 5); it can be done in one step by dividing by 25: 75/100 = 3/4 - divide by hcf(75, 100) = 25.
eg 0.02 also has 2 digits after the decimal point → 0.02 = 02/100 = 2/100 = 1/50.
2) If it is a repeating decimal, place the repeating digits over the same number of 9s as the number of repeating digits and simplify as above.
eg 0.242424... has 2 repeating digits (24) → 0.242424... = 24/99 = 8/33
eg 0.027027027... has 3 repeating digits (027) → 0.027027027... = 027/999 = 27/999 = 1/37
3) If it has a number of non-repeating digits before repeating digits, then a combination of 1 and 2 is used: put the non-repeating digits over a 1 followed by the same number of 0s as the number of digit, add the fraction formed by the repeating digits over the same number of 9s as the repeating digits followed by the same number of 0s as in the first fraction, and simplify the result.
eg 0.08333... has 2 digits (0.08) followed by 1 repeating digit (3) → 0.08333... = 08/100 + 3/900 = 72/900 + 3/900 = 75/900 = 1/12
4) Any non-terminating, non-repeating decimal is irrational and cannot be converted into a fraction.
eg √2 (= 1.41421...) cannot be represented as a fraction;
eg π (= 3.14159...; pi - the ratio of a circle's circumference to its diameter) cannot be represented as a fraction.
What else can I help you with?
How do you turn 80 into a fraction in simplest form?
80 = 80/1.
Change 19.4 as a fraction?
Ah, let's turn that decimal into a fraction. Simply put, 19.4 as a fraction is 97/5. Just like painting a happy little tree, sometimes all it takes is a few brushstrokes to transform something into a beautiful new form.
46 percent as a fraction in simplest form?
i had this prob. on my math homework and i answered it correctly (i think) 46% 1st you make it a fraction 46 over a 100 then simplify it by 2 and you get 23 over 50 23 is a prime number so you cant go any farther so the answer is.................. 23 over 50! Peace & Blessings 2 all thx ur welcome and bye bye Luv the person who told u this;)
How do you turn 3.83333333333 into a fraction?
To turn a decimal like 3.83333333333 into a fraction, you first identify the repeating decimal pattern, which in this case is 3.83. Next, you count the number of decimal places in the repeating pattern, which is 2. Then, you place the repeating pattern over a denominator with the same number of nines as the decimal places, resulting in 383/100. Finally, simplify the fraction if possible by dividing both the numerator and denominator by their greatest common divisor, if any.
What is 16.66666667 as a fraction?
16.66666667 as a fraction is best represented as 50/3. To convert a decimal to a fraction, you can simply take the decimal number as the numerator and put it over a power of 10 in the denominator. In this case, 16.66666667 is equivalent to 50/3 when simplified.
How can you turn 5 percent into a fraction in smplest form?
5% as a decimal is 0.05 and as a fraction it is 1/20 in its simplest form
How do I turn 4.23 into its simplest fraction form?
4.23 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, since it is a decimal fraction, there is not another simpler decimal form. Its equivalent, in rational form, is 423/100.
How do you turn 37.5persent into a fraction?
37.5% as a decimal is 0.375 and as a fraction 375/1000 or 3/8 in its simplest form
How do you turn 25 percent as a fraction in simplest form and as a decimal?
It is: 25% = 1/4 = 0.25
How do you turn -0.258 into simplest form fraction?
-0.258 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, being a decimal, there is no simpler form. Its rational equivalent is -258/1000 which can be simplified to -125/500.
How do you turn the decimal 0.7 in to a fraction?
Expressed as a proper fraction in its simplest form, 0.7 is equal to 7/10 or seven tenths.
How w do you turn 5.22 into a fraction in simplest form?
5.22 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, being a decimal, there is no simpler form. Its rational equivalent is 522/100 which can be simplified to 261/50.
What is 7.125 as a fraction in simplest form?
Well, isn't that a happy little question! Let's turn 7.125 into a fraction. First, we know that the whole number part is 7, then we have the decimal .125. To turn that into a fraction, we can write it as 125/1000. Simplifying it, we get 57/8. Just like that, we've turned a decimal into a lovely fraction!
How do you turn a decimal as a fraction or mixed number in simplest form?
To convert a decimal to a fraction, say it out loud. 0.44 = "forty-four hundredths" = 44/100 To simplify a fraction, find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form. 44/100 = 11/25
What is the to 1.64 into a fraction?
how do i turn 1.64 into its simplest fraction form?
How do you turn 0.8 as a fraction in simplest form?
0.8 as a fraction is 8/10 or 4/5 in its simplest form
How do you turn a whole number with decimal into a fraction?
To change a whole number with a decimal into a fraction, you take the decimal and put it into a fraction in simplest form. Let me give you an example so you understand better: 13.678 = 13 678/1000 = 13 339/500. You change it to a mixed fraction.
