What is 0.0472 as a fraction?
0.0472 as a fraction is 472/10000 and its simplest form is 59/1250.
Learn how to find what is 0.0472 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 0.0472 in its equivalent fraction form. It is required to recognize the decimal point 0.0472 as 472 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0472 as a fraction and how it can be found easily.
Summary: 0.0472 in fraction form
0.0472 can be recognized as 472 ten-thousandths, which can be represented as 472/10000 in fraction form. The simplest form of 472/10000 is 59/1250. Therefore, 0.0472 as a fraction is 59/1250.
Write 0.0472 as a fraction in simplest form.
0.0472 = (?)
0.0472 = 0.0472/1
= (0.0472/1) x (10000/10000) //0.0472 can be recognized as 472 ten-thousandths.
= 472/10000 //472 ten-thousandths is equal to 472/10000 and it can be simplified further.
= (472/8)/(10000/8) //8 is the GCF of 472 and 10000. Divide both 472 and 10000 by the GCF 8 to simplify the fraction.
= 59/1250
0.0472 = 59/1250
0.0472 in its simplest fraction form is 59/1250.
So, what is the fraction of 0.0472?
It is 472/10000 in fraction. To simplify 472/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 472 by 8 gives 59,
and dividing 10000 by 8 gives 1250. Thus, 472/10000 simplifies to 59/1250
Refer to the step by step work further to learn how to find what is 0.0472 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0472
What to be found:
What is 0.0472 as a fraction in simplest form?
step 2 Write 0.0472 as a simple fraction.
0.0472/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0472/1.
Since the decimal 0.0472 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0472/1 to make numerator as a whole number.
(0.0472 x 10000)/(1 x 10000) = 472/10000
step 4
472 ten-thousandths is the fraction form of 0.0472, however, it can be reduced further. To simplify 472/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 472 and 10000 cancel each other.
472/10000 = (8 x 59)/(8 x 1250)
= 59/1250
472/10000 = 59/1250
Hence,
0.0472 as a fraction is 59/1250.
Converting decimals like 0.0472 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0472 to fraction form. In this case, 0.0472 can be recognized as 472 ten-thousandths. So, the fraction form of 0.0472 is 472/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 472/10000 in its simplest form.