98/99 as a Decimal

98/99 as a decimal expansion provides the detailed information about what is 98/99 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

98/99 as a Decimal
98/99 = 0.9899
Hence,
98/99 as a decimal equals to 0.9899
where,
98/99 is a given fraction,
The decimal expansion of 98/99 is 0.9899

98/99 as a Mixed Number
The given fraction 98/99 can't be represented as a mixed number since the numerator 98 of the given fraction is smaller than the denominator 99.

The below work with steps provide the detailed information about how to convert fraction 98/99 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 98/99

What to be found:
Find the decimal expansion of fraction 98/99.

step 2 The numerator is smaller than the denominator of the fraction 98/99, 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 98/99.
= 98/99 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 98/99 x 1/10
= 980/99 x 1/10

step 4 Simplify the above expression further:
= 980/99 x 1/10
= 891 + 89/99 x 1/10
= ( 891/99 + 89/99) x 1/10
= (9 + 89/99 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 89/99 in the above expression:
= (9 + 89/99 ) x 1/10
= (9 + 0.899) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.899) x 1/10
= 9.899 x 1/10
= 9.899/10
98/99= 0.9899

Hence,
98/99 as a decimal is 0.9899