What is 0.148 as a fraction?
0.148 as a fraction is 148/1000 and its simplest form is 37/250.
Learn how to find what is 0.148 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 0.148 in its equivalent fraction form. It is required to recognize the decimal point 0.148 as 148 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.148 as a fraction and how it can be found easily.
Summary: 0.148 in fraction form
0.148 can be recognized as 148 thousandths, which can be represented as 148/1000 in fraction form. The simplest form of 148/1000 is 37/250. Therefore, 0.148 as a fraction is 37/250.
Write 0.148 as a fraction in simplest form.
0.148 = (?)
0.148 = 0.148/1
= (0.148/1) x (1000/1000) //0.148 can be recognized as 148 thousandths.
= 148/1000 //148 thousandths is equal to 148/1000 and it can be simplified further.
= (148/4)/(1000/4) //4 is the GCF of 148 and 1000. Divide both 148 and 1000 by the GCF 4 to simplify the fraction.
= 37/250
0.148 = 37/250
0.148 in its simplest fraction form is 37/250.
So, what is the fraction of 0.148?
It is 148/1000 in fraction. To simplify 148/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 148 by 4 gives 37,
and dividing 1000 by 4 gives 250. Thus, 148/1000 simplifies to 37/250
Refer to the step by step work further to learn how to find what is 0.148 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.148
What to be found:
What is 0.148 as a fraction in simplest form?
step 2 Write 0.148 as a simple fraction.
0.148/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.148/1.
Since the decimal 0.148 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.148/1 to make numerator as a whole number.
(0.148 x 1000)/(1 x 1000) = 148/1000
step 4
148 thousandths is the fraction form of 0.148, however, it can be reduced further. To simplify 148/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 148 and 1000 cancel each other.
148/1000 = (4 x 37)/(4 x 250)
= 37/250
148/1000 = 37/250
Hence,
0.148 as a fraction is 37/250.
Converting decimals like 0.148 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.148 to fraction form. In this case, 0.148 can be recognized as 148 thousandths. So, the fraction form of 0.148 is 148/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 148/1000 in its simplest form.