0.0078 as a Fraction in Simplest Form

Learn how to find what is 0.0078 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 0.0078 in its equivalent fraction form. It is required to recognize the decimal point 0.0078 as 78 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0078 as a fraction and how it can be found easily.

Summary: 0.0078 in fraction form
0.0078 can be recognized as 78 ten-thousandths, which can be represented as 78/10000 in fraction form. The simplest form of 78/10000 is 39/5000. Therefore, 0.0078 as a fraction is 39/5000.

Write 0.0078 as a fraction in simplest form.
0.0078 = (?)
0.0078 = 0.0078/1
= (0.0078/1) x (10000/10000)      //0.0078 can be recognized as 78 ten-thousandths.
= 78/10000      //78 ten-thousandths is equal to 78/10000 and it can be simplified further.
= (78/2)/(10000/2)       //2 is the GCF of 78 and 10000. Divide both 78 and 10000 by the GCF 2 to simplify the fraction.
= 39/5000
0.0078 = 39/5000
0.0078 in its simplest fraction form is 39/5000.

So, what is the fraction of 0.0078?
It is 78/10000 in fraction. To simplify 78/10000, 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 10000 by 2 gives 5000. Thus, 78/10000 simplifies to 39/5000

Refer to the step by step work further to learn how to find what is 0.0078 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0078

What to be found:
What is 0.0078 as a fraction in simplest form?

step 2 Write 0.0078 as a simple fraction.
0.0078/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0078/1.
Since the decimal 0.0078 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0078/1 to make numerator as a whole number.
(0.0078 x 10000)/(1 x 10000) = 78/10000

step 4 78 ten-thousandths is the fraction form of 0.0078, however, it can be reduced further. To simplify 78/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 78 and 10000 cancel each other.
78/10000 = (2 x 39)/(2 x 5000)
= 39/5000
78/10000 = 39/5000
Hence,
0.0078 as a fraction is 39/5000.

Converting decimals like 0.0078 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0078 to fraction form. In this case, 0.0078 can be recognized as 78 ten-thousandths. So, the fraction form of 0.0078 is 78/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 78/10000 in its simplest form.