339/8 as a Decimal and Mixed Number
339/8 as a decimal and mixed number expansion provides the detailed information about what is 339/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
339/8 as a Decimal
339/8 = 42.375
Hence,
339/8 as a decimal equals to 42.375
where,
339/8 is a given fraction,
The decimal expansion of 339/8 is 42.375
339/8 as a Mixed Number
339/8 = (336 + 3)/8
= 336/8 + 3/8
= 42 + 3/8
= 42 3/8
339/8 = 42 3/8
Hence,
339/8 as a mixed number is 42 3/8
where,
339/8 is a given fraction,
42 3/8 is the mixed number representation of 339/8.
How-to: 339/8 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 339/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 339/8
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 339/8.
step 2 The numerator is greater than the denominator of the fraction 339/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 339/8
= 336 + 3/8
= (42 x 8) + 3/8
step 3 Make the above expression as individual fractions:
= (42 x 8)/8 + 3/8
step 4 Simplify the above expression:
= 42 x 8/8 + 3/8
= 42 + 3/8
42 + 3/8 can be written as a mixed number 42 3/8.
step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 42 + (3/8 x 125/125)
= 42 + 375/1000
step 6 Simplify the above expression further:
= 42 + 0.375
= 42.375
339/8 = 42.375
Hence,
339/8 as a decimal is 42.375
339/8 as a mixed number is 42 3/8