355/42 as a decimal and mixed number expansion provides the detailed information about what is 355/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
355/42 as a Decimal
355/42 = 8.4524
Hence,
355/42 as a decimal equals to 8.4524
where,
355/42 is a given fraction,
The decimal expansion of 355/42 is 8.4524
355/42 as a Mixed Number
355/42 = (336 + 19)/42
= 336/42 + 19/42
= 8 + 19/42
= 8 19/42
355/42 = 8 19/42
Hence,
355/42 as a mixed number is 8 19/42
where,
355/42 is a given fraction,
8 19/42 is the mixed number representation of 355/42.
The below work with steps provide the detailed information about how to convert fraction 355/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/42
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/42.
step 2 The numerator is greater than the denominator of the fraction 355/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/42
= 336 + 19/42
= (8 x 42) + 19/42
step 3 Make the above expression as individual fractions:
= (8 x 42)/42 + 19/42
step 4 Simplify the above expression:
= 8 x 42/42 + 19/42
= 8 + 19/42
8 + 19/42 can be written as a mixed number 8 19/42.
step 5 Find the decimal equivalent for the fractional part 19/42 in the above expression:
= 8 + 0.4524
= 8.4524
355/42 = 8.4524
Hence,
355/42 as a decimal is 8.4524
355/42 as a mixed number is 8 19/42