0.0708 as a Fraction in Simplest Form

Learn how to find what is 0.0708 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 0.0708 in its equivalent fraction form. It is required to recognize the decimal point 0.0708 as 708 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0708 as a fraction and how it can be found easily.

Summary: 0.0708 in fraction form
0.0708 can be recognized as 708 ten-thousandths, which can be represented as 708/10000 in fraction form. The simplest form of 708/10000 is 177/2500. Therefore, 0.0708 as a fraction is 177/2500.

Write 0.0708 as a fraction in simplest form.
0.0708 = (?)
0.0708 = 0.0708/1
= (0.0708/1) x (10000/10000)      //0.0708 can be recognized as 708 ten-thousandths.
= 708/10000      //708 ten-thousandths is equal to 708/10000 and it can be simplified further.
= (708/4)/(10000/4)       //4 is the GCF of 708 and 10000. Divide both 708 and 10000 by the GCF 4 to simplify the fraction.
= 177/2500
0.0708 = 177/2500
0.0708 in its simplest fraction form is 177/2500.

So, what is the fraction of 0.0708?
It is 708/10000 in fraction. To simplify 708/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 708 by 4 gives 177, and dividing 10000 by 4 gives 2500. Thus, 708/10000 simplifies to 177/2500

Refer to the step by step work further to learn how to find what is 0.0708 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0708

What to be found:
What is 0.0708 as a fraction in simplest form?

step 2 Write 0.0708 as a simple fraction.
0.0708/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0708/1.
Since the decimal 0.0708 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0708/1 to make numerator as a whole number.
(0.0708 x 10000)/(1 x 10000) = 708/10000

step 4 708 ten-thousandths is the fraction form of 0.0708, however, it can be reduced further. To simplify 708/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 708 and 10000 cancel each other.
708/10000 = (4 x 177)/(4 x 2500)
= 177/2500
708/10000 = 177/2500
Hence,
0.0708 as a fraction is 177/2500.

Converting decimals like 0.0708 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0708 to fraction form. In this case, 0.0708 can be recognized as 708 ten-thousandths. So, the fraction form of 0.0708 is 708/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 708/10000 in its simplest form.