What is 0.552 as a fraction?
0.552 as a fraction is 552/1000 and its simplest form is 69/125.
Learn how to find what is 0.552 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 0.552 in its equivalent fraction form. It is required to recognize the decimal point 0.552 as 552 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.552 as a fraction and how it can be found easily.
Summary: 0.552 in fraction form
0.552 can be recognized as 552 thousandths, which can be represented as 552/1000 in fraction form. The simplest form of 552/1000 is 69/125. Therefore, 0.552 as a fraction is 69/125.
Write 0.552 as a fraction in simplest form.
0.552 = (?)
0.552 = 0.552/1
= (0.552/1) x (1000/1000) //0.552 can be recognized as 552 thousandths.
= 552/1000 //552 thousandths is equal to 552/1000 and it can be simplified further.
= (552/8)/(1000/8) //8 is the GCF of 552 and 1000. Divide both 552 and 1000 by the GCF 8 to simplify the fraction.
= 69/125
0.552 = 69/125
0.552 in its simplest fraction form is 69/125.
So, what is the fraction of 0.552?
It is 552/1000 in fraction. To simplify 552/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 552 by 8 gives 69,
and dividing 1000 by 8 gives 125. Thus, 552/1000 simplifies to 69/125
Refer to the step by step work further to learn how to find what is 0.552 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.552
What to be found:
What is 0.552 as a fraction in simplest form?
step 2 Write 0.552 as a simple fraction.
0.552/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.552/1.
Since the decimal 0.552 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.552/1 to make numerator as a whole number.
(0.552 x 1000)/(1 x 1000) = 552/1000
step 4
552 thousandths is the fraction form of 0.552, however, it can be reduced further. To simplify 552/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 552 and 1000 cancel each other.
552/1000 = (8 x 69)/(8 x 125)
= 69/125
552/1000 = 69/125
Hence,
0.552 as a fraction is 69/125.
Converting decimals like 0.552 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.552 to fraction form. In this case, 0.552 can be recognized as 552 thousandths. So, the fraction form of 0.552 is 552/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 552/1000 in its simplest form.