338/84 as a Decimal and Mixed Number

338/84 as a decimal and mixed number expansion provides the detailed information about what is 338/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/84 as a Decimal
338/84 = 4.0238
Hence,
338/84 as a decimal equals to 4.0238
where,
338/84 is a given fraction,
The decimal expansion of 338/84 is 4.0238

338/84 as a Mixed Number
338/84 = (336 + 2)/84
= 336/84 + 2/84
= 4 + 2/84
= 4 2/84
338/84 = 4 2/84

Hence,
338/84 as a mixed number is 4 ²/₈₄
where,
338/84 is a given fraction,
4 ²/₈₄ is the mixed number representation of 338/84.

The below work with steps provide the detailed information about how to convert fraction 338/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/84.

step 2 The numerator is greater than the denominator of the fraction 338/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/84
= 336 + 2/84
= (4 x 84) + 2/84

step 3 Make the above expression as individual fractions:
= (4 x 84)/84 + 2/84

step 4 Simplify the above expression:
= 4 x 84/84 + 2/84
= 4 + 2/84
= 4 + 1 x 2/42 x 2
= 4 + 1/42
4 + 1/42 can be written as a mixed number 4 ¹/₄₂.


step 5 Find the decimal equivalent for the fractional part 1/42 in the above expression:
= 4 + 0.0238
= 4.0238
338/84 = 4.0238

Hence,
338/84 as a decimal is 4.0238
338/84 as a mixed number is 4 ¹/₄₂