270/99 as a decimal and mixed number expansion provides the detailed information about what is 270/99 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
270/99 as a Decimal
270/99 = 2.7273
Hence,
270/99 as a decimal equals to 2.7273
where,
270/99 is a given fraction,
The decimal expansion of 270/99 is 2.7273
270/99 as a Mixed Number
270/99 = (198 + 72)/99
= 198/99 + 72/99
= 2 + 72/99
= 2 72/99
270/99 = 2 72/99
Hence,
270/99 as a mixed number is 2 72/99
where,
270/99 is a given fraction,
2 72/99 is the mixed number representation of 270/99.
The below work with steps provide the detailed information about how to convert fraction 270/99 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/99
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/99.
step 2 The numerator is greater than the denominator of the fraction 270/99, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/99
= 198 + 72/99
= (2 x 99) + 72/99
step 3 Make the above expression as individual fractions:
= (2 x 99)/99 + 72/99
step 4 Simplify the above expression:
= 2 x 99/99 + 72/99
= 2 + 72/99
= 2 + 8 x 9/11 x 9
= 2 + 8/11
2 + 8/11 can be written as a mixed number 2 8/11.
step 5 Find the decimal equivalent for the fractional part 8/11 in the above expression:
= 2 + 0.7273
= 2.7273
270/99 = 2.7273
Hence,
270/99 as a decimal is 2.7273
270/99 as a mixed number is 2 8/11