338/330 as a Decimal and Mixed Number

338/330 as a decimal and mixed number expansion provides the detailed information about what is 338/330 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/330 as a Decimal
338/330 = 1.0242
Hence,
338/330 as a decimal equals to 1.0242
where,
338/330 is a given fraction,
The decimal expansion of 338/330 is 1.0242

338/330 as a Mixed Number
338/330 = (330 + 8)/330
= 330/330 + 8/330
= 1 + 8/330
= 1 8/330
338/330 = 1 8/330

Hence,
338/330 as a mixed number is 1 ⁸/₃₃₀
where,
338/330 is a given fraction,
1 ⁸/₃₃₀ is the mixed number representation of 338/330.

The below work with steps provide the detailed information about how to convert fraction 338/330 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/330

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/330.

step 2 The numerator is greater than the denominator of the fraction 338/330, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/330
= 330 + 8/330

step 3 Make the above expression as individual fractions:
= 330/330 + 8/330

step 4 Simplify the above expression:
= 1 x 330/330 + 8/330
= 1 + 8/330
= 1 + 4 x 2/165 x 2
= 1 + 4/165
1 + 4/165 can be written as a mixed number 1 ⁴/₁₆₅.


step 5 Find the decimal equivalent for the fractional part 4/165 in the above expression:
= 1 + 0.0242
= 1.0242
338/330 = 1.0242

Hence,
338/330 as a decimal is 1.0242
338/330 as a mixed number is 1 ⁴/₁₆₅