338/326 as a Decimal and Mixed Number

338/326 as a decimal and mixed number expansion provides the detailed information about what is 338/326 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/326 as a Decimal
338/326 = 1.0368
Hence,
338/326 as a decimal equals to 1.0368
where,
338/326 is a given fraction,
The decimal expansion of 338/326 is 1.0368

338/326 as a Mixed Number
338/326 = (326 + 12)/326
= 326/326 + 12/326
= 1 + 12/326
= 1 12/326
338/326 = 1 12/326

Hence,
338/326 as a mixed number is 1 ¹²/₃₂₆
where,
338/326 is a given fraction,
1 ¹²/₃₂₆ is the mixed number representation of 338/326.

The below work with steps provide the detailed information about how to convert fraction 338/326 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/326

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/326.

step 2 The numerator is greater than the denominator of the fraction 338/326, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/326
= 326 + 12/326

step 3 Make the above expression as individual fractions:
= 326/326 + 12/326

step 4 Simplify the above expression:
= 1 x 326/326 + 12/326
= 1 + 12/326
= 1 + 6 x 2/163 x 2
= 1 + 6/163
1 + 6/163 can be written as a mixed number 1 ⁶/₁₆₃.


step 5 Find the decimal equivalent for the fractional part 6/163 in the above expression:
= 1 + 0.0368
= 1.0368
338/326 = 1.0368

Hence,
338/326 as a decimal is 1.0368
338/326 as a mixed number is 1 ⁶/₁₆₃