106/42 as a Decimal and Mixed Number

106/42 as a decimal and mixed number expansion provides the detailed information about what is 106/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

106/42 as a Decimal
106/42 = 2.5238
Hence,
106/42 as a decimal equals to 2.5238
where,
106/42 is a given fraction,
The decimal expansion of 106/42 is 2.5238

106/42 as a Mixed Number
106/42 = (84 + 22)/42
= 84/42 + 22/42
= 2 + 22/42
= 2 22/42
106/42 = 2 22/42

Hence,
106/42 as a mixed number is 2 ²²/₄₂
where,
106/42 is a given fraction,
2 ²²/₄₂ is the mixed number representation of 106/42.

The below work with steps provide the detailed information about how to convert fraction 106/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 106/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 106/42.

step 2 The numerator is greater than the denominator of the fraction 106/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 106/42
= 84 + 22/42
= (2 x 42) + 22/42

step 3 Make the above expression as individual fractions:
= (2 x 42)/42 + 22/42

step 4 Simplify the above expression:
= 2 x 42/42 + 22/42
= 2 + 22/42
= 2 + 11 x 2/21 x 2
= 2 + 11/21
2 + 11/21 can be written as a mixed number 2 ¹¹/₂₁.


step 5 Find the decimal equivalent for the fractional part 11/21 in the above expression:
= 2 + 0.5238
= 2.5238
106/42 = 2.5238

Hence,
106/42 as a decimal is 2.5238
106/42 as a mixed number is 2 ¹¹/₂₁