355/324 as a Decimal and Mixed Number

355/324 as a decimal and mixed number expansion provides the detailed information about what is 355/324 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/324 as a Decimal
355/324 = 1.0957
Hence,
355/324 as a decimal equals to 1.0957
where,
355/324 is a given fraction,
The decimal expansion of 355/324 is 1.0957

355/324 as a Mixed Number
355/324 = (324 + 31)/324
= 324/324 + 31/324
= 1 + 31/324
= 1 31/324
355/324 = 1 31/324

Hence,
355/324 as a mixed number is 1 ³¹/₃₂₄
where,
355/324 is a given fraction,
1 ³¹/₃₂₄ is the mixed number representation of 355/324.

The below work with steps provide the detailed information about how to convert fraction 355/324 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/324

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/324.

step 2 The numerator is greater than the denominator of the fraction 355/324, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/324
= 324 + 31/324

step 3 Make the above expression as individual fractions:
= 324/324 + 31/324

step 4 Simplify the above expression:
= 1 x 324/324 + 31/324
= 1 + 31/324
1 + 31/324 can be written as a mixed number 1 ³¹/₃₂₄.


step 5 Find the decimal equivalent for the fractional part 31/324 in the above expression:
= 1 + 0.0957
= 1.0957
355/324 = 1.0957

Hence,
355/324 as a decimal is 1.0957
355/324 as a mixed number is 1 ³¹/₃₂₄