What is 0.145 as a fraction?
0.145 as a fraction is 145/1000 and its simplest form is 29/200.
Learn how to find what is 0.145 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 0.145 in its equivalent fraction form. It is required to recognize the decimal point 0.145 as 145 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.145 as a fraction and how it can be found easily.
Summary: 0.145 in fraction form
0.145 can be recognized as 145 thousandths, which can be represented as 145/1000 in fraction form. The simplest form of 145/1000 is 29/200. Therefore, 0.145 as a fraction is 29/200.
Write 0.145 as a fraction in simplest form.
0.145 = (?)
0.145 = 0.145/1
= (0.145/1) x (1000/1000) //0.145 can be recognized as 145 thousandths.
= 145/1000 //145 thousandths is equal to 145/1000 and it can be simplified further.
= (145/5)/(1000/5) //5 is the GCF of 145 and 1000. Divide both 145 and 1000 by the GCF 5 to simplify the fraction.
= 29/200
0.145 = 29/200
0.145 in its simplest fraction form is 29/200.
So, what is the fraction of 0.145?
It is 145/1000 in fraction. To simplify 145/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 145 by 5 gives 29,
and dividing 1000 by 5 gives 200. Thus, 145/1000 simplifies to 29/200
Refer to the step by step work further to learn how to find what is 0.145 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.145
What to be found:
What is 0.145 as a fraction in simplest form?
step 2 Write 0.145 as a simple fraction.
0.145/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.145/1.
Since the decimal 0.145 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.145/1 to make numerator as a whole number.
(0.145 x 1000)/(1 x 1000) = 145/1000
step 4
145 thousandths is the fraction form of 0.145, however, it can be reduced further. To simplify 145/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 145 and 1000 cancel each other.
145/1000 = (5 x 29)/(5 x 200)
= 29/200
145/1000 = 29/200
Hence,
0.145 as a fraction is 29/200.
Converting decimals like 0.145 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.145 to fraction form. In this case, 0.145 can be recognized as 145 thousandths. So, the fraction form of 0.145 is 145/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 145/1000 in its simplest form.