What is 0.784 as a fraction?
0.784 as a fraction is 784/1000 and its simplest form is 98/125.
Learn how to find what is 0.784 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 0.784 in its equivalent fraction form. It is required to recognize the decimal point 0.784 as 784 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.784 as a fraction and how it can be found easily.
Summary: 0.784 in fraction form
0.784 can be recognized as 784 thousandths, which can be represented as 784/1000 in fraction form. The simplest form of 784/1000 is 98/125. Therefore, 0.784 as a fraction is 98/125.
Write 0.784 as a fraction in simplest form.
0.784 = (?)
0.784 = 0.784/1
= (0.784/1) x (1000/1000) //0.784 can be recognized as 784 thousandths.
= 784/1000 //784 thousandths is equal to 784/1000 and it can be simplified further.
= (784/8)/(1000/8) //8 is the GCF of 784 and 1000. Divide both 784 and 1000 by the GCF 8 to simplify the fraction.
= 98/125
0.784 = 98/125
0.784 in its simplest fraction form is 98/125.
So, what is the fraction of 0.784?
It is 784/1000 in fraction. To simplify 784/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 784 by 8 gives 98,
and dividing 1000 by 8 gives 125. Thus, 784/1000 simplifies to 98/125
Refer to the step by step work further to learn how to find what is 0.784 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.784
What to be found:
What is 0.784 as a fraction in simplest form?
step 2 Write 0.784 as a simple fraction.
0.784/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.784/1.
Since the decimal 0.784 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.784/1 to make numerator as a whole number.
(0.784 x 1000)/(1 x 1000) = 784/1000
step 4
784 thousandths is the fraction form of 0.784, however, it can be reduced further. To simplify 784/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 784 and 1000 cancel each other.
784/1000 = (8 x 98)/(8 x 125)
= 98/125
784/1000 = 98/125
Hence,
0.784 as a fraction is 98/125.
Converting decimals like 0.784 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.784 to fraction form. In this case, 0.784 can be recognized as 784 thousandths. So, the fraction form of 0.784 is 784/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 784/1000 in its simplest form.