What is 0.758 as a fraction?
0.758 as a fraction is 758/1000 and its simplest form is 379/500.
Learn how to find what is 0.758 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 0.758 in its equivalent fraction form. It is required to recognize the decimal point 0.758 as 758 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.758 as a fraction and how it can be found easily.
Summary: 0.758 in fraction form
0.758 can be recognized as 758 thousandths, which can be represented as 758/1000 in fraction form. The simplest form of 758/1000 is 379/500. Therefore, 0.758 as a fraction is 379/500.
Write 0.758 as a fraction in simplest form.
0.758 = (?)
0.758 = 0.758/1
= (0.758/1) x (1000/1000) //0.758 can be recognized as 758 thousandths.
= 758/1000 //758 thousandths is equal to 758/1000 and it can be simplified further.
= (758/2)/(1000/2) //2 is the GCF of 758 and 1000. Divide both 758 and 1000 by the GCF 2 to simplify the fraction.
= 379/500
0.758 = 379/500
0.758 in its simplest fraction form is 379/500.
So, what is the fraction of 0.758?
It is 758/1000 in fraction. To simplify 758/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 758 by 2 gives 379,
and dividing 1000 by 2 gives 500. Thus, 758/1000 simplifies to 379/500
Refer to the step by step work further to learn how to find what is 0.758 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.758
What to be found:
What is 0.758 as a fraction in simplest form?
step 2 Write 0.758 as a simple fraction.
0.758/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.758/1.
Since the decimal 0.758 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.758/1 to make numerator as a whole number.
(0.758 x 1000)/(1 x 1000) = 758/1000
step 4
758 thousandths is the fraction form of 0.758, however, it can be reduced further. To simplify 758/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 758 and 1000 cancel each other.
758/1000 = (2 x 379)/(2 x 500)
= 379/500
758/1000 = 379/500
Hence,
0.758 as a fraction is 379/500.
Converting decimals like 0.758 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.758 to fraction form. In this case, 0.758 can be recognized as 758 thousandths. So, the fraction form of 0.758 is 758/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 758/1000 in its simplest form.