What is 0.078 as a fraction?
0.078 as a fraction is 78/1000 and its simplest form is 39/500.
Learn how to find what is 0.078 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 0.078 in its equivalent fraction form. It is required to recognize the decimal point 0.078 as 78 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.078 as a fraction and how it can be found easily.
Summary: 0.078 in fraction form
0.078 can be recognized as 78 thousandths, which can be represented as 78/1000 in fraction form. The simplest form of 78/1000 is 39/500. Therefore, 0.078 as a fraction is 39/500.
Write 0.078 as a fraction in simplest form.
0.078 = (?)
0.078 = 0.078/1
= (0.078/1) x (1000/1000) //0.078 can be recognized as 78 thousandths.
= 78/1000 //78 thousandths is equal to 78/1000 and it can be simplified further.
= (78/2)/(1000/2) //2 is the GCF of 78 and 1000. Divide both 78 and 1000 by the GCF 2 to simplify the fraction.
= 39/500
0.078 = 39/500
0.078 in its simplest fraction form is 39/500.
So, what is the fraction of 0.078?
It is 78/1000 in fraction. To simplify 78/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 78 by 2 gives 39,
and dividing 1000 by 2 gives 500. Thus, 78/1000 simplifies to 39/500
Refer to the step by step work further to learn how to find what is 0.078 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.078
What to be found:
What is 0.078 as a fraction in simplest form?
step 2 Write 0.078 as a simple fraction.
0.078/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.078/1.
Since the decimal 0.078 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.078/1 to make numerator as a whole number.
(0.078 x 1000)/(1 x 1000) = 78/1000
step 4
78 thousandths is the fraction form of 0.078, however, it can be reduced further. To simplify 78/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 78 and 1000 cancel each other.
78/1000 = (2 x 39)/(2 x 500)
= 39/500
78/1000 = 39/500
Hence,
0.078 as a fraction is 39/500.
Converting decimals like 0.078 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.078 to fraction form. In this case, 0.078 can be recognized as 78 thousandths. So, the fraction form of 0.078 is 78/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 78/1000 in its simplest form.