275/242 as a Decimal and Mixed Number

275/242 as a decimal and mixed number expansion provides the detailed information about what is 275/242 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/242 as a Decimal
275/242 = 1.1364
Hence,
275/242 as a decimal equals to 1.1364
where,
275/242 is a given fraction,
The decimal expansion of 275/242 is 1.1364

275/242 as a Mixed Number
275/242 = (242 + 33)/242
= 242/242 + 33/242
= 1 + 33/242
= 1 33/242
275/242 = 1 33/242

Hence,
275/242 as a mixed number is 1 ³³/₂₄₂
where,
275/242 is a given fraction,
1 ³³/₂₄₂ is the mixed number representation of 275/242.

The below work with steps provide the detailed information about how to convert fraction 275/242 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/242

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/242.

step 2 The numerator is greater than the denominator of the fraction 275/242, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/242
= 242 + 33/242

step 3 Make the above expression as individual fractions:
= 242/242 + 33/242

step 4 Simplify the above expression:
= 1 x 242/242 + 33/242
= 1 + 33/242
= 1 + 3 x 11/22 x 11
= 1 + 3/22
1 + 3/22 can be written as a mixed number 1 ³/₂₂.


step 5 Find the decimal equivalent for the fractional part 3/22 in the above expression:
= 1 + 0.1364
= 1.1364
275/242 = 1.1364

Hence,
275/242 as a decimal is 1.1364
275/242 as a mixed number is 1 ³/₂₂