284/42 as a Decimal and Mixed Number

284/42 as a decimal and mixed number expansion provides the detailed information about what is 284/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

284/42 as a Decimal
284/42 = 6.7619
Hence,
284/42 as a decimal equals to 6.7619
where,
284/42 is a given fraction,
The decimal expansion of 284/42 is 6.7619

284/42 as a Mixed Number
284/42 = (252 + 32)/42
= 252/42 + 32/42
= 6 + 32/42
= 6 32/42
284/42 = 6 32/42

Hence,
284/42 as a mixed number is 6 ³²/₄₂
where,
284/42 is a given fraction,
6 ³²/₄₂ is the mixed number representation of 284/42.

The below work with steps provide the detailed information about how to convert fraction 284/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 284/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 284/42.

step 2 The numerator is greater than the denominator of the fraction 284/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 284/42
= 252 + 32/42
= (6 x 42) + 32/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 32/42

step 4 Simplify the above expression:
= 6 x 42/42 + 32/42
= 6 + 32/42
= 6 + 16 x 2/21 x 2
= 6 + 16/21
6 + 16/21 can be written as a mixed number 6 ¹⁶/₂₁.


step 5 Find the decimal equivalent for the fractional part 16/21 in the above expression:
= 6 + 0.7619
= 6.7619
284/42 = 6.7619

Hence,
284/42 as a decimal is 6.7619
284/42 as a mixed number is 6 ¹⁶/₂₁