338/167 as a Decimal and Mixed Number

338/167 as a decimal and mixed number expansion provides the detailed information about what is 338/167 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/167 as a Decimal
338/167 = 2.024
Hence,
338/167 as a decimal equals to 2.024
where,
338/167 is a given fraction,
The decimal expansion of 338/167 is 2.024

338/167 as a Mixed Number
338/167 = (334 + 4)/167
= 334/167 + 4/167
= 2 + 4/167
= 2 4/167
338/167 = 2 4/167

Hence,
338/167 as a mixed number is 2 ⁴/₁₆₇
where,
338/167 is a given fraction,
2 ⁴/₁₆₇ is the mixed number representation of 338/167.

The below work with steps provide the detailed information about how to convert fraction 338/167 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/167

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/167.

step 2 The numerator is greater than the denominator of the fraction 338/167, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/167
= 334 + 4/167
= (2 x 167) + 4/167

step 3 Make the above expression as individual fractions:
= (2 x 167)/167 + 4/167

step 4 Simplify the above expression:
= 2 x 167/167 + 4/167
= 2 + 4/167
2 + 4/167 can be written as a mixed number 2 ⁴/₁₆₇.


step 5 Find the decimal equivalent for the fractional part 4/167 in the above expression:
= 2 + 0.024
= 2.024
338/167 = 2.024

Hence,
338/167 as a decimal is 2.024
338/167 as a mixed number is 2 ⁴/₁₆₇