102/99 as a decimal and mixed number expansion provides the detailed information about what is 102/99 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
102/99 as a Decimal
102/99 = 1.0303
Hence,
102/99 as a decimal equals to 1.0303
where,
102/99 is a given fraction,
The decimal expansion of 102/99 is 1.0303
102/99 as a Mixed Number
102/99 = (99 + 3)/99
= 99/99 + 3/99
= 1 + 3/99
= 1 3/99
102/99 = 1 3/99
Hence,
102/99 as a mixed number is 1 3/99
where,
102/99 is a given fraction,
1 3/99 is the mixed number representation of 102/99.
The below work with steps provide the detailed information about how to convert fraction 102/99 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/99
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/99.
step 2 The numerator is greater than the denominator of the fraction 102/99, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/99
= 99 + 3/99
step 3 Make the above expression as individual fractions:
= 99/99 + 3/99
step 4 Simplify the above expression:
= 1 x 99/99 + 3/99
= 1 + 3/99
= 1 + 1 x 3/33 x 3
= 1 + 1/33
1 + 1/33 can be written as a mixed number 1 1/33.
step 5 Find the decimal equivalent for the fractional part 1/33 in the above expression:
= 1 + 0.0303
= 1.0303
102/99 = 1.0303
Hence,
102/99 as a decimal is 1.0303
102/99 as a mixed number is 1 1/33