What is 0.376 as a fraction?
0.376 as a fraction is 376/1000 and its simplest form is 47/125.
Learn how to find what is 0.376 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 0.376 in its equivalent fraction form. It is required to recognize the decimal point 0.376 as 376 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.376 as a fraction and how it can be found easily.
Summary: 0.376 in fraction form
0.376 can be recognized as 376 thousandths, which can be represented as 376/1000 in fraction form. The simplest form of 376/1000 is 47/125. Therefore, 0.376 as a fraction is 47/125.
Write 0.376 as a fraction in simplest form.
0.376 = (?)
0.376 = 0.376/1
= (0.376/1) x (1000/1000) //0.376 can be recognized as 376 thousandths.
= 376/1000 //376 thousandths is equal to 376/1000 and it can be simplified further.
= (376/8)/(1000/8) //8 is the GCF of 376 and 1000. Divide both 376 and 1000 by the GCF 8 to simplify the fraction.
= 47/125
0.376 = 47/125
0.376 in its simplest fraction form is 47/125.
So, what is the fraction of 0.376?
It is 376/1000 in fraction. To simplify 376/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 376 by 8 gives 47,
and dividing 1000 by 8 gives 125. Thus, 376/1000 simplifies to 47/125
Refer to the step by step work further to learn how to find what is 0.376 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.376
What to be found:
What is 0.376 as a fraction in simplest form?
step 2 Write 0.376 as a simple fraction.
0.376/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.376/1.
Since the decimal 0.376 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.376/1 to make numerator as a whole number.
(0.376 x 1000)/(1 x 1000) = 376/1000
step 4
376 thousandths is the fraction form of 0.376, however, it can be reduced further. To simplify 376/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 376 and 1000 cancel each other.
376/1000 = (8 x 47)/(8 x 125)
= 47/125
376/1000 = 47/125
Hence,
0.376 as a fraction is 47/125.
Converting decimals like 0.376 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.376 to fraction form. In this case, 0.376 can be recognized as 376 thousandths. So, the fraction form of 0.376 is 376/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 376/1000 in its simplest form.