What is 0.735 as a fraction?
0.735 as a fraction is 735/1000 and its simplest form is 147/200.
Learn how to find what is 0.735 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 0.735 in its equivalent fraction form. It is required to recognize the decimal point 0.735 as 735 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.735 as a fraction and how it can be found easily.
Summary: 0.735 in fraction form
0.735 can be recognized as 735 thousandths, which can be represented as 735/1000 in fraction form. The simplest form of 735/1000 is 147/200. Therefore, 0.735 as a fraction is 147/200.
Write 0.735 as a fraction in simplest form.
0.735 = (?)
0.735 = 0.735/1
= (0.735/1) x (1000/1000) //0.735 can be recognized as 735 thousandths.
= 735/1000 //735 thousandths is equal to 735/1000 and it can be simplified further.
= (735/5)/(1000/5) //5 is the GCF of 735 and 1000. Divide both 735 and 1000 by the GCF 5 to simplify the fraction.
= 147/200
0.735 = 147/200
0.735 in its simplest fraction form is 147/200.
So, what is the fraction of 0.735?
It is 735/1000 in fraction. To simplify 735/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 735 by 5 gives 147,
and dividing 1000 by 5 gives 200. Thus, 735/1000 simplifies to 147/200
Refer to the step by step work further to learn how to find what is 0.735 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.735
What to be found:
What is 0.735 as a fraction in simplest form?
step 2 Write 0.735 as a simple fraction.
0.735/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.735/1.
Since the decimal 0.735 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.735/1 to make numerator as a whole number.
(0.735 x 1000)/(1 x 1000) = 735/1000
step 4
735 thousandths is the fraction form of 0.735, however, it can be reduced further. To simplify 735/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 735 and 1000 cancel each other.
735/1000 = (5 x 147)/(5 x 200)
= 147/200
735/1000 = 147/200
Hence,
0.735 as a fraction is 147/200.
Converting decimals like 0.735 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.735 to fraction form. In this case, 0.735 can be recognized as 735 thousandths. So, the fraction form of 0.735 is 735/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 735/1000 in its simplest form.