0.152 as a Fraction in Simplest Form

Learn how to find what is 0.152 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 0.152 in its equivalent fraction form. It is required to recognize the decimal point 0.152 as 152 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.152 as a fraction and how it can be found easily.

Summary: 0.152 in fraction form
0.152 can be recognized as 152 thousandths, which can be represented as 152/1000 in fraction form. The simplest form of 152/1000 is 19/125. Therefore, 0.152 as a fraction is 19/125.

Write 0.152 as a fraction in simplest form.
0.152 = (?)
0.152 = 0.152/1
= (0.152/1) x (1000/1000)      //0.152 can be recognized as 152 thousandths.
= 152/1000      //152 thousandths is equal to 152/1000 and it can be simplified further.
= (152/8)/(1000/8)       //8 is the GCF of 152 and 1000. Divide both 152 and 1000 by the GCF 8 to simplify the fraction.
= 19/125
0.152 = 19/125
0.152 in its simplest fraction form is 19/125.

So, what is the fraction of 0.152?
It is 152/1000 in fraction. To simplify 152/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 152 by 8 gives 19, and dividing 1000 by 8 gives 125. Thus, 152/1000 simplifies to 19/125

Refer to the step by step work further to learn how to find what is 0.152 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.152

What to be found:
What is 0.152 as a fraction in simplest form?

step 2 Write 0.152 as a simple fraction.
0.152/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.152/1.
Since the decimal 0.152 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.152/1 to make numerator as a whole number.
(0.152 x 1000)/(1 x 1000) = 152/1000

step 4 152 thousandths is the fraction form of 0.152, however, it can be reduced further. To simplify 152/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 152 and 1000 cancel each other.
152/1000 = (8 x 19)/(8 x 125)
= 19/125
152/1000 = 19/125
Hence,
0.152 as a fraction is 19/125.

Converting decimals like 0.152 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.152 to fraction form. In this case, 0.152 can be recognized as 152 thousandths. So, the fraction form of 0.152 is 152/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 152/1000 in its simplest form.