285/42 as a Decimal and Mixed Number

285/42 as a decimal and mixed number expansion provides the detailed information about what is 285/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

285/42 as a Decimal
285/42 = 6.7857
Hence,
285/42 as a decimal equals to 6.7857
where,
285/42 is a given fraction,
The decimal expansion of 285/42 is 6.7857

285/42 as a Mixed Number
285/42 = (252 + 33)/42
= 252/42 + 33/42
= 6 + 33/42
= 6 33/42
285/42 = 6 33/42

Hence,
285/42 as a mixed number is 6 ³³/₄₂
where,
285/42 is a given fraction,
6 ³³/₄₂ is the mixed number representation of 285/42.

The below work with steps provide the detailed information about how to convert fraction 285/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 285/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 285/42.

step 2 The numerator is greater than the denominator of the fraction 285/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 285/42
= 252 + 33/42
= (6 x 42) + 33/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 33/42

step 4 Simplify the above expression:
= 6 x 42/42 + 33/42
= 6 + 33/42
= 6 + 11 x 3/14 x 3
= 6 + 11/14
6 + 11/14 can be written as a mixed number 6 ¹¹/₁₄.


step 5 Find the decimal equivalent for the fractional part 11/14 in the above expression:
= 6 + 0.7857
= 6.7857
285/42 = 6.7857

Hence,
285/42 as a decimal is 6.7857
285/42 as a mixed number is 6 ¹¹/₁₄