What is 0.345 as a fraction?
0.345 as a fraction is 345/1000 and its simplest form is 69/200.
Learn how to find what is 0.345 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 0.345 in its equivalent fraction form. It is required to recognize the decimal point 0.345 as 345 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.345 as a fraction and how it can be found easily.
Summary: 0.345 in fraction form
0.345 can be recognized as 345 thousandths, which can be represented as 345/1000 in fraction form. The simplest form of 345/1000 is 69/200. Therefore, 0.345 as a fraction is 69/200.
Write 0.345 as a fraction in simplest form.
0.345 = (?)
0.345 = 0.345/1
= (0.345/1) x (1000/1000) //0.345 can be recognized as 345 thousandths.
= 345/1000 //345 thousandths is equal to 345/1000 and it can be simplified further.
= (345/5)/(1000/5) //5 is the GCF of 345 and 1000. Divide both 345 and 1000 by the GCF 5 to simplify the fraction.
= 69/200
0.345 = 69/200
0.345 in its simplest fraction form is 69/200.
So, what is the fraction of 0.345?
It is 345/1000 in fraction. To simplify 345/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 345 by 5 gives 69,
and dividing 1000 by 5 gives 200. Thus, 345/1000 simplifies to 69/200
Refer to the step by step work further to learn how to find what is 0.345 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.345
What to be found:
What is 0.345 as a fraction in simplest form?
step 2 Write 0.345 as a simple fraction.
0.345/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.345/1.
Since the decimal 0.345 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.345/1 to make numerator as a whole number.
(0.345 x 1000)/(1 x 1000) = 345/1000
step 4
345 thousandths is the fraction form of 0.345, however, it can be reduced further. To simplify 345/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 345 and 1000 cancel each other.
345/1000 = (5 x 69)/(5 x 200)
= 69/200
345/1000 = 69/200
Hence,
0.345 as a fraction is 69/200.
Converting decimals like 0.345 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.345 to fraction form. In this case, 0.345 can be recognized as 345 thousandths. So, the fraction form of 0.345 is 345/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 345/1000 in its simplest form.