338/8 as a Decimal and Mixed Number

338/8 as a decimal and mixed number expansion provides the detailed information about what is 338/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/8 as a Decimal
338/8 = 42.25
Hence,
338/8 as a decimal equals to 42.25
where,
338/8 is a given fraction,
The decimal expansion of 338/8 is 42.25

338/8 as a Mixed Number
338/8 = (336 + 2)/8
= 336/8 + 2/8
= 42 + 2/8
= 42 2/8
338/8 = 42 2/8

Hence,
338/8 as a mixed number is 42 ²/₈
where,
338/8 is a given fraction,
42 ²/₈ is the mixed number representation of 338/8.

The below work with steps provide the detailed information about how to convert fraction 338/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/8.

step 2 The numerator is greater than the denominator of the fraction 338/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/8
= 336 + 2/8
= (42 x 8) + 2/8

step 3 Make the above expression as individual fractions:
= (42 x 8)/8 + 2/8

step 4 Simplify the above expression:
= 42 x 8/8 + 2/8
= 42 + 2/8
= 42 + 1 x 2/4 x 2
= 42 + 1/4
42 + 1/4 can be written as a mixed number 42 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 42 + (1/4 x 25/25)
= 42 + 25/100

step 6 Simplify the above expression further:
= 42 + 0.25
= 42.25
338/8 = 42.25

Hence,
338/8 as a decimal is 42.25
338/8 as a mixed number is 42 ¹/₄