What is 0.745 as a fraction?
0.745 as a fraction is 745/1000 and its simplest form is 149/200.
Learn how to find what is 0.745 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 0.745 in its equivalent fraction form. It is required to recognize the decimal point 0.745 as 745 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.745 as a fraction and how it can be found easily.
Summary: 0.745 in fraction form
0.745 can be recognized as 745 thousandths, which can be represented as 745/1000 in fraction form. The simplest form of 745/1000 is 149/200. Therefore, 0.745 as a fraction is 149/200.
Write 0.745 as a fraction in simplest form.
0.745 = (?)
0.745 = 0.745/1
= (0.745/1) x (1000/1000) //0.745 can be recognized as 745 thousandths.
= 745/1000 //745 thousandths is equal to 745/1000 and it can be simplified further.
= (745/5)/(1000/5) //5 is the GCF of 745 and 1000. Divide both 745 and 1000 by the GCF 5 to simplify the fraction.
= 149/200
0.745 = 149/200
0.745 in its simplest fraction form is 149/200.
So, what is the fraction of 0.745?
It is 745/1000 in fraction. To simplify 745/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 745 by 5 gives 149,
and dividing 1000 by 5 gives 200. Thus, 745/1000 simplifies to 149/200
Refer to the step by step work further to learn how to find what is 0.745 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.745
What to be found:
What is 0.745 as a fraction in simplest form?
step 2 Write 0.745 as a simple fraction.
0.745/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.745/1.
Since the decimal 0.745 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.745/1 to make numerator as a whole number.
(0.745 x 1000)/(1 x 1000) = 745/1000
step 4
745 thousandths is the fraction form of 0.745, however, it can be reduced further. To simplify 745/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 745 and 1000 cancel each other.
745/1000 = (5 x 149)/(5 x 200)
= 149/200
745/1000 = 149/200
Hence,
0.745 as a fraction is 149/200.
Converting decimals like 0.745 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.745 to fraction form. In this case, 0.745 can be recognized as 745 thousandths. So, the fraction form of 0.745 is 745/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 745/1000 in its simplest form.