What is 0.704 as a fraction?
0.704 as a fraction is 704/1000 and its simplest form is 88/125.
Learn how to find what is 0.704 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 0.704 in its equivalent fraction form. It is required to recognize the decimal point 0.704 as 704 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.704 as a fraction and how it can be found easily.
Summary: 0.704 in fraction form
0.704 can be recognized as 704 thousandths, which can be represented as 704/1000 in fraction form. The simplest form of 704/1000 is 88/125. Therefore, 0.704 as a fraction is 88/125.
Write 0.704 as a fraction in simplest form.
0.704 = (?)
0.704 = 0.704/1
= (0.704/1) x (1000/1000) //0.704 can be recognized as 704 thousandths.
= 704/1000 //704 thousandths is equal to 704/1000 and it can be simplified further.
= (704/8)/(1000/8) //8 is the GCF of 704 and 1000. Divide both 704 and 1000 by the GCF 8 to simplify the fraction.
= 88/125
0.704 = 88/125
0.704 in its simplest fraction form is 88/125.
So, what is the fraction of 0.704?
It is 704/1000 in fraction. To simplify 704/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 704 by 8 gives 88,
and dividing 1000 by 8 gives 125. Thus, 704/1000 simplifies to 88/125
Refer to the step by step work further to learn how to find what is 0.704 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.704
What to be found:
What is 0.704 as a fraction in simplest form?
step 2 Write 0.704 as a simple fraction.
0.704/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.704/1.
Since the decimal 0.704 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.704/1 to make numerator as a whole number.
(0.704 x 1000)/(1 x 1000) = 704/1000
step 4
704 thousandths is the fraction form of 0.704, however, it can be reduced further. To simplify 704/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 704 and 1000 cancel each other.
704/1000 = (8 x 88)/(8 x 125)
= 88/125
704/1000 = 88/125
Hence,
0.704 as a fraction is 88/125.
Converting decimals like 0.704 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.704 to fraction form. In this case, 0.704 can be recognized as 704 thousandths. So, the fraction form of 0.704 is 704/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 704/1000 in its simplest form.