What is 0.288 as a fraction?
0.288 as a fraction is 288/1000 and its simplest form is 36/125.
Learn how to find what is 0.288 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 0.288 in its equivalent fraction form. It is required to recognize the decimal point 0.288 as 288 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.288 as a fraction and how it can be found easily.
Summary: 0.288 in fraction form
0.288 can be recognized as 288 thousandths, which can be represented as 288/1000 in fraction form. The simplest form of 288/1000 is 36/125. Therefore, 0.288 as a fraction is 36/125.
Write 0.288 as a fraction in simplest form.
0.288 = (?)
0.288 = 0.288/1
= (0.288/1) x (1000/1000) //0.288 can be recognized as 288 thousandths.
= 288/1000 //288 thousandths is equal to 288/1000 and it can be simplified further.
= (288/8)/(1000/8) //8 is the GCF of 288 and 1000. Divide both 288 and 1000 by the GCF 8 to simplify the fraction.
= 36/125
0.288 = 36/125
0.288 in its simplest fraction form is 36/125.
So, what is the fraction of 0.288?
It is 288/1000 in fraction. To simplify 288/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 288 by 8 gives 36,
and dividing 1000 by 8 gives 125. Thus, 288/1000 simplifies to 36/125
Refer to the step by step work further to learn how to find what is 0.288 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.288
What to be found:
What is 0.288 as a fraction in simplest form?
step 2 Write 0.288 as a simple fraction.
0.288/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.288/1.
Since the decimal 0.288 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.288/1 to make numerator as a whole number.
(0.288 x 1000)/(1 x 1000) = 288/1000
step 4
288 thousandths is the fraction form of 0.288, however, it can be reduced further. To simplify 288/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 288 and 1000 cancel each other.
288/1000 = (8 x 36)/(8 x 125)
= 36/125
288/1000 = 36/125
Hence,
0.288 as a fraction is 36/125.
Converting decimals like 0.288 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.288 to fraction form. In this case, 0.288 can be recognized as 288 thousandths. So, the fraction form of 0.288 is 288/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 288/1000 in its simplest form.