342/309 as a Decimal and Mixed Number

342/309 as a decimal and mixed number expansion provides the detailed information about what is 342/309 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/309 as a Decimal
342/309 = 1.1068
Hence,
342/309 as a decimal equals to 1.1068
where,
342/309 is a given fraction,
The decimal expansion of 342/309 is 1.1068

342/309 as a Mixed Number
342/309 = (309 + 33)/309
= 309/309 + 33/309
= 1 + 33/309
= 1 33/309
342/309 = 1 33/309

Hence,
342/309 as a mixed number is 1 ³³/₃₀₉
where,
342/309 is a given fraction,
1 ³³/₃₀₉ is the mixed number representation of 342/309.

The below work with steps provide the detailed information about how to convert fraction 342/309 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/309

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/309.

step 2 The numerator is greater than the denominator of the fraction 342/309, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/309
= 309 + 33/309

step 3 Make the above expression as individual fractions:
= 309/309 + 33/309

step 4 Simplify the above expression:
= 1 x 309/309 + 33/309
= 1 + 33/309
= 1 + 11 x 3/103 x 3
= 1 + 11/103
1 + 11/103 can be written as a mixed number 1 ¹¹/₁₀₃.


step 5 Find the decimal equivalent for the fractional part 11/103 in the above expression:
= 1 + 0.1068
= 1.1068
342/309 = 1.1068

Hence,
342/309 as a decimal is 1.1068
342/309 as a mixed number is 1 ¹¹/₁₀₃