287/42 as a Decimal and Mixed Number

287/42 as a decimal and mixed number expansion provides the detailed information about what is 287/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

287/42 as a Decimal
287/42 = 6.8333
Hence,
287/42 as a decimal equals to 6.8333
where,
287/42 is a given fraction,
The decimal expansion of 287/42 is 6.8333

287/42 as a Mixed Number
287/42 = (252 + 35)/42
= 252/42 + 35/42
= 6 + 35/42
= 6 35/42
287/42 = 6 35/42

Hence,
287/42 as a mixed number is 6 ³⁵/₄₂
where,
287/42 is a given fraction,
6 ³⁵/₄₂ is the mixed number representation of 287/42.

The below work with steps provide the detailed information about how to convert fraction 287/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 287/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 287/42.

step 2 The numerator is greater than the denominator of the fraction 287/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 287/42
= 252 + 35/42
= (6 x 42) + 35/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 35/42

step 4 Simplify the above expression:
= 6 x 42/42 + 35/42
= 6 + 35/42
= 6 + 5 x 7/6 x 7
= 6 + 5/6
6 + 5/6 can be written as a mixed number 6 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 6 + 0.8333
= 6.8333
287/42 = 6.8333

Hence,
287/42 as a decimal is 6.8333
287/42 as a mixed number is 6 ⁵/₆