355/326 as a Decimal and Mixed Number

355/326 as a decimal and mixed number expansion provides the detailed information about what is 355/326 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/326 as a Decimal
355/326 = 1.089
Hence,
355/326 as a decimal equals to 1.089
where,
355/326 is a given fraction,
The decimal expansion of 355/326 is 1.089

355/326 as a Mixed Number
355/326 = (326 + 29)/326
= 326/326 + 29/326
= 1 + 29/326
= 1 29/326
355/326 = 1 29/326

Hence,
355/326 as a mixed number is 1 ²⁹/₃₂₆
where,
355/326 is a given fraction,
1 ²⁹/₃₂₆ is the mixed number representation of 355/326.

The below work with steps provide the detailed information about how to convert fraction 355/326 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/326

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/326.

step 2 The numerator is greater than the denominator of the fraction 355/326, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/326
= 326 + 29/326

step 3 Make the above expression as individual fractions:
= 326/326 + 29/326

step 4 Simplify the above expression:
= 1 x 326/326 + 29/326
= 1 + 29/326
1 + 29/326 can be written as a mixed number 1 ²⁹/₃₂₆.


step 5 Find the decimal equivalent for the fractional part 29/326 in the above expression:
= 1 + 0.089
= 1.089
355/326 = 1.089

Hence,
355/326 as a decimal is 1.089
355/326 as a mixed number is 1 ²⁹/₃₂₆