0.0145 as a Fraction in Simplest Form

Learn how to find what is 0.0145 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 0.0145 in its equivalent fraction form. It is required to recognize the decimal point 0.0145 as 145 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0145 as a fraction and how it can be found easily.

Summary: 0.0145 in fraction form
0.0145 can be recognized as 145 ten-thousandths, which can be represented as 145/10000 in fraction form. The simplest form of 145/10000 is 29/2000. Therefore, 0.0145 as a fraction is 29/2000.

Write 0.0145 as a fraction in simplest form.
0.0145 = (?)
0.0145 = 0.0145/1
= (0.0145/1) x (10000/10000)      //0.0145 can be recognized as 145 ten-thousandths.
= 145/10000      //145 ten-thousandths is equal to 145/10000 and it can be simplified further.
= (145/5)/(10000/5)       //5 is the GCF of 145 and 10000. Divide both 145 and 10000 by the GCF 5 to simplify the fraction.
= 29/2000
0.0145 = 29/2000
0.0145 in its simplest fraction form is 29/2000.

So, what is the fraction of 0.0145?
It is 145/10000 in fraction. To simplify 145/10000, 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 10000 by 5 gives 2000. Thus, 145/10000 simplifies to 29/2000

Refer to the step by step work further to learn how to find what is 0.0145 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0145

What to be found:
What is 0.0145 as a fraction in simplest form?

step 2 Write 0.0145 as a simple fraction.
0.0145/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0145/1.
Since the decimal 0.0145 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0145/1 to make numerator as a whole number.
(0.0145 x 10000)/(1 x 10000) = 145/10000

step 4 145 ten-thousandths is the fraction form of 0.0145, however, it can be reduced further. To simplify 145/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 145 and 10000 cancel each other.
145/10000 = (5 x 29)/(5 x 2000)
= 29/2000
145/10000 = 29/2000
Hence,
0.0145 as a fraction is 29/2000.

Converting decimals like 0.0145 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0145 to fraction form. In this case, 0.0145 can be recognized as 145 ten-thousandths. So, the fraction form of 0.0145 is 145/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 145/10000 in its simplest form.