What is 0.368 as a fraction?
0.368 as a fraction is 368/1000 and its simplest form is 46/125.
Learn how to find what is 0.368 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.368 in its equivalent fraction form. It is required to recognize the decimal point 0.368 as 368 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.368 as a fraction and how it can be found easily.
Summary: 0.368 in fraction form
0.368 can be recognized as 368 thousandths, which can be represented as 368/1000 in fraction form. The simplest form of 368/1000 is 46/125. Therefore, 0.368 as a fraction is 46/125.
Write 0.368 as a fraction in simplest form.
0.368 = (?)
0.368 = 0.368/1
= (0.368/1) x (1000/1000) //0.368 can be recognized as 368 thousandths.
= 368/1000 //368 thousandths is equal to 368/1000 and it can be simplified further.
= (368/8)/(1000/8) //8 is the GCF of 368 and 1000. Divide both 368 and 1000 by the GCF 8 to simplify the fraction.
= 46/125
0.368 = 46/125
0.368 in its simplest fraction form is 46/125.
So, what is the fraction of 0.368?
It is 368/1000 in fraction. To simplify 368/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 368 by 8 gives 46,
and dividing 1000 by 8 gives 125. Thus, 368/1000 simplifies to 46/125
Refer to the step by step work further to learn how to find what is 0.368 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.368
What to be found:
What is 0.368 as a fraction in simplest form?
step 2 Write 0.368 as a simple fraction.
0.368/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.368/1.
Since the decimal 0.368 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.368/1 to make numerator as a whole number.
(0.368 x 1000)/(1 x 1000) = 368/1000
step 4
368 thousandths is the fraction form of 0.368, however, it can be reduced further. To simplify 368/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 368 and 1000 cancel each other.
368/1000 = (8 x 46)/(8 x 125)
= 46/125
368/1000 = 46/125
Hence,
0.368 as a fraction is 46/125.
Converting decimals like 0.368 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.368 to fraction form. In this case, 0.368 can be recognized as 368 thousandths. So, the fraction form of 0.368 is 368/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 368/1000 in its simplest form.