282/42 as a Decimal and Mixed Number

282/42 as a decimal and mixed number expansion provides the detailed information about what is 282/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

282/42 as a Decimal
282/42 = 6.7143
Hence,
282/42 as a decimal equals to 6.7143
where,
282/42 is a given fraction,
The decimal expansion of 282/42 is 6.7143

282/42 as a Mixed Number
282/42 = (252 + 30)/42
= 252/42 + 30/42
= 6 + 30/42
= 6 30/42
282/42 = 6 30/42

Hence,
282/42 as a mixed number is 6 ³⁰/₄₂
where,
282/42 is a given fraction,
6 ³⁰/₄₂ is the mixed number representation of 282/42.

The below work with steps provide the detailed information about how to convert fraction 282/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 282/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 282/42.

step 2 The numerator is greater than the denominator of the fraction 282/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 282/42
= 252 + 30/42
= (6 x 42) + 30/42

step 3 Make the above expression as individual fractions:
= (6 x 42)/42 + 30/42

step 4 Simplify the above expression:
= 6 x 42/42 + 30/42
= 6 + 30/42
= 6 + 5 x 6/7 x 6
= 6 + 5/7
6 + 5/7 can be written as a mixed number 6 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 6 + 0.7143
= 6.7143
282/42 = 6.7143

Hence,
282/42 as a decimal is 6.7143
282/42 as a mixed number is 6 ⁵/₇