338/324 as a Decimal and Mixed Number

338/324 as a decimal and mixed number expansion provides the detailed information about what is 338/324 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/324 as a Decimal
338/324 = 1.0432
Hence,
338/324 as a decimal equals to 1.0432
where,
338/324 is a given fraction,
The decimal expansion of 338/324 is 1.0432

338/324 as a Mixed Number
338/324 = (324 + 14)/324
= 324/324 + 14/324
= 1 + 14/324
= 1 14/324
338/324 = 1 14/324

Hence,
338/324 as a mixed number is 1 ¹⁴/₃₂₄
where,
338/324 is a given fraction,
1 ¹⁴/₃₂₄ is the mixed number representation of 338/324.

The below work with steps provide the detailed information about how to convert fraction 338/324 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/324

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/324.

step 2 The numerator is greater than the denominator of the fraction 338/324, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/324
= 324 + 14/324

step 3 Make the above expression as individual fractions:
= 324/324 + 14/324

step 4 Simplify the above expression:
= 1 x 324/324 + 14/324
= 1 + 14/324
= 1 + 7 x 2/162 x 2
= 1 + 7/162
1 + 7/162 can be written as a mixed number 1 ⁷/₁₆₂.


step 5 Find the decimal equivalent for the fractional part 7/162 in the above expression:
= 1 + 0.0432
= 1.0432
338/324 = 1.0432

Hence,
338/324 as a decimal is 1.0432
338/324 as a mixed number is 1 ⁷/₁₆₂