What is 0.752 as a fraction?
0.752 as a fraction is 752/1000 and its simplest form is 94/125.
Learn how to find what is 0.752 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 0.752 in its equivalent fraction form. It is required to recognize the decimal point 0.752 as 752 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.752 as a fraction and how it can be found easily.
Summary: 0.752 in fraction form
0.752 can be recognized as 752 thousandths, which can be represented as 752/1000 in fraction form. The simplest form of 752/1000 is 94/125. Therefore, 0.752 as a fraction is 94/125.
Write 0.752 as a fraction in simplest form.
0.752 = (?)
0.752 = 0.752/1
= (0.752/1) x (1000/1000) //0.752 can be recognized as 752 thousandths.
= 752/1000 //752 thousandths is equal to 752/1000 and it can be simplified further.
= (752/8)/(1000/8) //8 is the GCF of 752 and 1000. Divide both 752 and 1000 by the GCF 8 to simplify the fraction.
= 94/125
0.752 = 94/125
0.752 in its simplest fraction form is 94/125.
So, what is the fraction of 0.752?
It is 752/1000 in fraction. To simplify 752/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 752 by 8 gives 94,
and dividing 1000 by 8 gives 125. Thus, 752/1000 simplifies to 94/125
Refer to the step by step work further to learn how to find what is 0.752 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.752
What to be found:
What is 0.752 as a fraction in simplest form?
step 2 Write 0.752 as a simple fraction.
0.752/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.752/1.
Since the decimal 0.752 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.752/1 to make numerator as a whole number.
(0.752 x 1000)/(1 x 1000) = 752/1000
step 4
752 thousandths is the fraction form of 0.752, however, it can be reduced further. To simplify 752/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 752 and 1000 cancel each other.
752/1000 = (8 x 94)/(8 x 125)
= 94/125
752/1000 = 94/125
Hence,
0.752 as a fraction is 94/125.
Converting decimals like 0.752 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.752 to fraction form. In this case, 0.752 can be recognized as 752 thousandths. So, the fraction form of 0.752 is 752/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 752/1000 in its simplest form.