What is 0.736 as a fraction?
0.736 as a fraction is 736/1000 and its simplest form is 92/125.
Learn how to find what is 0.736 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 0.736 in its equivalent fraction form. It is required to recognize the decimal point 0.736 as 736 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.736 as a fraction and how it can be found easily.
Summary: 0.736 in fraction form
0.736 can be recognized as 736 thousandths, which can be represented as 736/1000 in fraction form. The simplest form of 736/1000 is 92/125. Therefore, 0.736 as a fraction is 92/125.
Write 0.736 as a fraction in simplest form.
0.736 = (?)
0.736 = 0.736/1
= (0.736/1) x (1000/1000) //0.736 can be recognized as 736 thousandths.
= 736/1000 //736 thousandths is equal to 736/1000 and it can be simplified further.
= (736/8)/(1000/8) //8 is the GCF of 736 and 1000. Divide both 736 and 1000 by the GCF 8 to simplify the fraction.
= 92/125
0.736 = 92/125
0.736 in its simplest fraction form is 92/125.
So, what is the fraction of 0.736?
It is 736/1000 in fraction. To simplify 736/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 736 by 8 gives 92,
and dividing 1000 by 8 gives 125. Thus, 736/1000 simplifies to 92/125
Refer to the step by step work further to learn how to find what is 0.736 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.736
What to be found:
What is 0.736 as a fraction in simplest form?
step 2 Write 0.736 as a simple fraction.
0.736/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.736/1.
Since the decimal 0.736 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.736/1 to make numerator as a whole number.
(0.736 x 1000)/(1 x 1000) = 736/1000
step 4
736 thousandths is the fraction form of 0.736, however, it can be reduced further. To simplify 736/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 736 and 1000 cancel each other.
736/1000 = (8 x 92)/(8 x 125)
= 92/125
736/1000 = 92/125
Hence,
0.736 as a fraction is 92/125.
Converting decimals like 0.736 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.736 to fraction form. In this case, 0.736 can be recognized as 736 thousandths. So, the fraction form of 0.736 is 736/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 736/1000 in its simplest form.