355/88 as a Decimal and Mixed Number

355/88 as a decimal and mixed number expansion provides the detailed information about what is 355/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/88 as a Decimal
355/88 = 4.0341
Hence,
355/88 as a decimal equals to 4.0341
where,
355/88 is a given fraction,
The decimal expansion of 355/88 is 4.0341

355/88 as a Mixed Number
355/88 = (352 + 3)/88
= 352/88 + 3/88
= 4 + 3/88
= 4 3/88
355/88 = 4 3/88

Hence,
355/88 as a mixed number is 4 ³/₈₈
where,
355/88 is a given fraction,
4 ³/₈₈ is the mixed number representation of 355/88.

The below work with steps provide the detailed information about how to convert fraction 355/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/88.

step 2 The numerator is greater than the denominator of the fraction 355/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/88
= 352 + 3/88
= (4 x 88) + 3/88

step 3 Make the above expression as individual fractions:
= (4 x 88)/88 + 3/88

step 4 Simplify the above expression:
= 4 x 88/88 + 3/88
= 4 + 3/88
4 + 3/88 can be written as a mixed number 4 ³/₈₈.


step 5 Find the decimal equivalent for the fractional part 3/88 in the above expression:
= 4 + 0.0341
= 4.0341
355/88 = 4.0341

Hence,
355/88 as a decimal is 4.0341
355/88 as a mixed number is 4 ³/₈₈