104/115 as a decimal expansion provides the detailed information about what is 104/115 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
104/115 as a Decimal
104/115 = 0.9043
Hence,
104/115 as a decimal equals to 0.9043
where,
104/115 is a given fraction,
The decimal expansion of 104/115 is 0.9043
104/115 as a Mixed Number
The given fraction 104/115 can't be represented as a mixed number since the numerator 104 of the given fraction is smaller than the denominator 115.
The below work with steps provide the detailed information about how to convert fraction 104/115 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 104/115
What to be found:
Find the decimal expansion of fraction 104/115.
step 2 The numerator is smaller than the denominator of the fraction 104/115, 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 104/115.
= 104/115 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 104/115 x 1/10
= 1040/115 x 1/10
step 4 Simplify the above expression further:
= 1040/115 x 1/10
= 1035 + 5/115 x 1/10
= ( 1035/115 + 5/115) x 1/10
= (9 + 5/115 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 5/115 in the above expression:
= (9 + 5/115 ) x 1/10
= (9 + 0.043) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.043) x 1/10
= 9.043 x 1/10
= 9.043/10
104/115= 0.9043
Hence,
104/115 as a decimal is 0.9043