What is 0.785 as a fraction?
0.785 as a fraction is 785/1000 and its simplest form is 157/200.
Learn how to find what is 0.785 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 0.785 in its equivalent fraction form. It is required to recognize the decimal point 0.785 as 785 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.785 as a fraction and how it can be found easily.
Summary: 0.785 in fraction form
0.785 can be recognized as 785 thousandths, which can be represented as 785/1000 in fraction form. The simplest form of 785/1000 is 157/200. Therefore, 0.785 as a fraction is 157/200.
Write 0.785 as a fraction in simplest form.
0.785 = (?)
0.785 = 0.785/1
= (0.785/1) x (1000/1000) //0.785 can be recognized as 785 thousandths.
= 785/1000 //785 thousandths is equal to 785/1000 and it can be simplified further.
= (785/5)/(1000/5) //5 is the GCF of 785 and 1000. Divide both 785 and 1000 by the GCF 5 to simplify the fraction.
= 157/200
0.785 = 157/200
0.785 in its simplest fraction form is 157/200.
So, what is the fraction of 0.785?
It is 785/1000 in fraction. To simplify 785/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 785 by 5 gives 157,
and dividing 1000 by 5 gives 200. Thus, 785/1000 simplifies to 157/200
Refer to the step by step work further to learn how to find what is 0.785 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.785
What to be found:
What is 0.785 as a fraction in simplest form?
step 2 Write 0.785 as a simple fraction.
0.785/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.785/1.
Since the decimal 0.785 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.785/1 to make numerator as a whole number.
(0.785 x 1000)/(1 x 1000) = 785/1000
step 4
785 thousandths is the fraction form of 0.785, however, it can be reduced further. To simplify 785/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 785 and 1000 cancel each other.
785/1000 = (5 x 157)/(5 x 200)
= 157/200
785/1000 = 157/200
Hence,
0.785 as a fraction is 157/200.
Converting decimals like 0.785 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.785 to fraction form. In this case, 0.785 can be recognized as 785 thousandths. So, the fraction form of 0.785 is 785/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 785/1000 in its simplest form.