337/8 as a Decimal and Mixed Number

337/8 as a decimal and mixed number expansion provides the detailed information about what is 337/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

337/8 as a Decimal
337/8 = 42.125
Hence,
337/8 as a decimal equals to 42.125
where,
337/8 is a given fraction,
The decimal expansion of 337/8 is 42.125

337/8 as a Mixed Number
337/8 = (336 + 1)/8
= 336/8 + 1/8
= 42 + 1/8
= 42 1/8
337/8 = 42 1/8

Hence,
337/8 as a mixed number is 42 ¹/₈
where,
337/8 is a given fraction,
42 ¹/₈ is the mixed number representation of 337/8.

The below work with steps provide the detailed information about how to convert fraction 337/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 337/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 337/8.

step 2 The numerator is greater than the denominator of the fraction 337/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 337/8
= 336 + 1/8
= (42 x 8) + 1/8

step 3 Make the above expression as individual fractions:
= (42 x 8)/8 + 1/8

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


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 42 + (1/8 x 125/125)
= 42 + 125/1000

step 6 Simplify the above expression further:
= 42 + 0.125
= 42.125
337/8 = 42.125

Hence,
337/8 as a decimal is 42.125
337/8 as a mixed number is 42 ¹/₈