What is 1.625 as a fraction?
1.625 as a fraction is 1625/1000 and its simplest form is 13/8.
Learn how to find what is 1.625 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 1.625 in its equivalent fraction form. It is required to recognize the decimal point 1.625 as 1625 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 1.625 as a fraction and how it can be found easily.
Summary: 1.625 in fraction form
1.625 can be recognized as 1625 thousandths, which can be represented as 1625/1000 in fraction form. The simplest form of 1625/1000 is 13/8. Therefore, 1.625 as a fraction is 13/8.
Write 1.625 as a fraction in simplest form.
1.625 = (?)
1.625 = 1.625/1
= (1.625/1) x (1000/1000) //1.625 can be recognized as 1625 thousandths.
= 1625/1000 //1625 thousandths is equal to 1625/1000 and it can be simplified further.
= (1625/125)/(1000/125) //125 is the GCF of 1625 and 1000. Divide both 1625 and 1000 by the GCF 125 to simplify the fraction.
= 13/8
1.625 = 13/8
1.625 in its simplest fraction form is 13/8.
So, what is the fraction of 1.625?
It is 1625/1000 in fraction. To simplify 1625/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 125 in this case. Dividing 1625 by 125 gives 13,
and dividing 1000 by 125 gives 8. Thus, 1625/1000 simplifies to 13/8
Refer to the step by step work further to learn how to find what is 1.625 as a fraction in simple form.
step 1
Input values:
The decimal number = 1.625
What to be found:
What is 1.625 as a fraction in simplest form?
step 2 Write 1.625 as a simple fraction.
1.625/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 1.625/1.
Since the decimal 1.625 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 1.625/1 to make numerator as a whole number.
(1.625 x 1000)/(1 x 1000) = 1625/1000
step 4
1625 thousandths is the fraction form of 1.625, however, it can be reduced further. To simplify 1625/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 1625 and 1000 cancel each other.
1625/1000 = (125 x 13)/(125 x 8)
= 13/8
1625/1000 = 13/8
Hence,
1.625 as a fraction is 13/8.
Converting decimals like 1.625 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 1.625 to fraction form. In this case, 1.625 can be recognized as 1625 thousandths. So, the fraction form of 1.625 is 1625/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 1625/1000 in its simplest form.