355/275 as a Decimal and Mixed Number

355/275 as a decimal and mixed number expansion provides the detailed information about what is 355/275 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/275 as a Decimal
355/275 = 1.2909
Hence,
355/275 as a decimal equals to 1.2909
where,
355/275 is a given fraction,
The decimal expansion of 355/275 is 1.2909

355/275 as a Mixed Number
355/275 = (275 + 80)/275
= 275/275 + 80/275
= 1 + 80/275
= 1 80/275
355/275 = 1 80/275

Hence,
355/275 as a mixed number is 1 ⁸⁰/₂₇₅
where,
355/275 is a given fraction,
1 ⁸⁰/₂₇₅ is the mixed number representation of 355/275.

The below work with steps provide the detailed information about how to convert fraction 355/275 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/275

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/275.

step 2 The numerator is greater than the denominator of the fraction 355/275, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/275
= 275 + 80/275

step 3 Make the above expression as individual fractions:
= 275/275 + 80/275

step 4 Simplify the above expression:
= 1 x 275/275 + 80/275
= 1 + 80/275
= 1 + 16 x 5/55 x 5
= 1 + 16/55
1 + 16/55 can be written as a mixed number 1 ¹⁶/₅₅.


step 5 Find the decimal equivalent for the fractional part 16/55 in the above expression:
= 1 + 0.2909
= 1.2909
355/275 = 1.2909

Hence,
355/275 as a decimal is 1.2909
355/275 as a mixed number is 1 ¹⁶/₅₅