238/42 as a Decimal and Mixed Number

238/42 as a decimal and mixed number expansion provides the detailed information about what is 238/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/42 as a Decimal
238/42 = 5.6667
Hence,
238/42 as a decimal equals to 5.6667
where,
238/42 is a given fraction,
The decimal expansion of 238/42 is 5.6667

238/42 as a Mixed Number
238/42 = (210 + 28)/42
= 210/42 + 28/42
= 5 + 28/42
= 5 28/42
238/42 = 5 28/42

Hence,
238/42 as a mixed number is 5 ²⁸/₄₂
where,
238/42 is a given fraction,
5 ²⁸/₄₂ is the mixed number representation of 238/42.

The below work with steps provide the detailed information about how to convert fraction 238/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/42.

step 2 The numerator is greater than the denominator of the fraction 238/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/42
= 210 + 28/42
= (5 x 42) + 28/42

step 3 Make the above expression as individual fractions:
= (5 x 42)/42 + 28/42

step 4 Simplify the above expression:
= 5 x 42/42 + 28/42
= 5 + 28/42
= 5 + 2 x 14/3 x 14
= 5 + 2/3
5 + 2/3 can be written as a mixed number 5 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 5 + 0.6667
= 5.6667
238/42 = 5.6667

Hence,
238/42 as a decimal is 5.6667
238/42 as a mixed number is 5 ²/₃