106/107 as a Decimal

106/107 as a decimal expansion provides the detailed information about what is 106/107 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

106/107 as a Decimal
106/107 = 0.9907
Hence,
106/107 as a decimal equals to 0.9907
where,
106/107 is a given fraction,
The decimal expansion of 106/107 is 0.9907

106/107 as a Mixed Number
The given fraction 106/107 can't be represented as a mixed number since the numerator 106 of the given fraction is smaller than the denominator 107.

The below work with steps provide the detailed information about how to convert fraction 106/107 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 106/107

What to be found:
Find the decimal expansion of fraction 106/107.

step 2 The numerator is smaller than the denominator of the fraction 106/107, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 106/107.
= 106/107 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 106/107 x 1/10
= 1060/107 x 1/10

step 4 Simplify the above expression further:
= 1060/107 x 1/10
= 963 + 97/107 x 1/10
= ( 963/107 + 97/107) x 1/10
= (9 + 97/107 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 97/107 in the above expression:
= (9 + 97/107 ) x 1/10
= (9 + 0.907) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.907) x 1/10
= 9.907 x 1/10
= 9.907/10
106/107= 0.9907

Hence,
106/107 as a decimal is 0.9907