116/106 as a decimal and mixed number expansion provides the detailed information about what is 116/106 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
116/106 as a Decimal
116/106 = 1.0943
Hence,
116/106 as a decimal equals to 1.0943
where,
116/106 is a given fraction,
The decimal expansion of 116/106 is 1.0943
116/106 as a Mixed Number
116/106 = (106 + 10)/106
= 106/106 + 10/106
= 1 + 10/106
= 1 10/106
116/106 = 1 10/106
Hence,
116/106 as a mixed number is 1 10/106
where,
116/106 is a given fraction,
1 10/106 is the mixed number representation of 116/106.
The below work with steps provide the detailed information about how to convert fraction 116/106 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 116/106
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 116/106.
step 2 The numerator is greater than the denominator of the fraction 116/106, so write the given fraction in the expression form in terms of denominator as like the below:
= 116/106
= 106 + 10/106
step 3 Make the above expression as individual fractions:
= 106/106 + 10/106
step 4 Simplify the above expression:
= 1 x 106/106 + 10/106
= 1 + 10/106
= 1 + 5 x 2/53 x 2
= 1 + 5/53
1 + 5/53 can be written as a mixed number 1 5/53.
step 5 Find the decimal equivalent for the fractional part 5/53 in the above expression:
= 1 + 0.0943
= 1.0943
116/106 = 1.0943
Hence,
116/106 as a decimal is 1.0943
116/106 as a mixed number is 1 5/53