342/338 as a Decimal and Mixed Number

342/338 as a decimal and mixed number expansion provides the detailed information about what is 342/338 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/338 as a Decimal
342/338 = 1.0118
Hence,
342/338 as a decimal equals to 1.0118
where,
342/338 is a given fraction,
The decimal expansion of 342/338 is 1.0118

342/338 as a Mixed Number
342/338 = (338 + 4)/338
= 338/338 + 4/338
= 1 + 4/338
= 1 4/338
342/338 = 1 4/338

Hence,
342/338 as a mixed number is 1 ⁴/₃₃₈
where,
342/338 is a given fraction,
1 ⁴/₃₃₈ is the mixed number representation of 342/338.

The below work with steps provide the detailed information about how to convert fraction 342/338 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/338

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/338.

step 2 The numerator is greater than the denominator of the fraction 342/338, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/338
= 338 + 4/338

step 3 Make the above expression as individual fractions:
= 338/338 + 4/338

step 4 Simplify the above expression:
= 1 x 338/338 + 4/338
= 1 + 4/338
= 1 + 2 x 2/169 x 2
= 1 + 2/169
1 + 2/169 can be written as a mixed number 1 ²/₁₆₉.


step 5 Find the decimal equivalent for the fractional part 2/169 in the above expression:
= 1 + 0.0118
= 1.0118
342/338 = 1.0118

Hence,
342/338 as a decimal is 1.0118
342/338 as a mixed number is 1 ²/₁₆₉