What is 10.5 as a fraction?
10.5 as a fraction is 105/10 and its simplest form is 21/2.
Learn how to find what is 10.5 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 10.5 in its equivalent fraction form. It is required to recognize the decimal point 10.5 as 105 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 10.5 as a fraction and how it can be found easily.
Summary: 10.5 in fraction form
10.5 can be recognized as 105 tenths, which can be represented as 105/10 in fraction form. The simplest form of 105/10 is 21/2. Therefore, 10.5 as a fraction is 21/2.
Write 10.5 as a fraction in simplest form.
10.5 = (?)
10.5 = 10.5/1
= (10.5/1) x (10/10) //10.5 can be recognized as 105 tenths.
= 105/10 //105 tenths is equal to 105/10 and it can be simplified further.
= (105/5)/(10/5) //5 is the GCF of 105 and 10. Divide both 105 and 10 by the GCF 5 to simplify the fraction.
= 21/2
10.5 = 21/2
10.5 in its simplest fraction form is 21/2.
So, what is the fraction of 10.5?
It is 105/10 in fraction. To simplify 105/10, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 105 by 5 gives 21,
and dividing 10 by 5 gives 2. Thus, 105/10 simplifies to 21/2
Refer to the step by step work further to learn how to find what is 10.5 as a fraction in simple form.
step 1
Input values:
The decimal number = 10.5
What to be found:
What is 10.5 as a fraction in simplest form?
step 2 Write 10.5 as a simple fraction.
10.5/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 10.5/1.
Since the decimal 10.5 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 10.5/1 to make numerator as a whole number.
(10.5 x 10)/(1 x 10) = 105/10
step 4
105 tenths is the fraction form of 10.5, however, it can be reduced further. To simplify 105/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 105 and 10 cancel each other.
105/10 = (5 x 21)/(5 x 2)
= 21/2
105/10 = 21/2
Hence,
10.5 as a fraction is 21/2.
Converting decimals like 10.5 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 10.5 to fraction form. In this case, 10.5 can be recognized as 105 tenths. So, the fraction form of 10.5 is 105/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 105/10 in its simplest form.