214/42 as a Decimal and Mixed Number

214/42 as a decimal and mixed number expansion provides the detailed information about what is 214/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

214/42 as a Decimal
214/42 = 5.0952
Hence,
214/42 as a decimal equals to 5.0952
where,
214/42 is a given fraction,
The decimal expansion of 214/42 is 5.0952

214/42 as a Mixed Number
214/42 = (210 + 4)/42
= 210/42 + 4/42
= 5 + 4/42
= 5 4/42
214/42 = 5 4/42

Hence,
214/42 as a mixed number is 5 ⁴/₄₂
where,
214/42 is a given fraction,
5 ⁴/₄₂ is the mixed number representation of 214/42.

The below work with steps provide the detailed information about how to convert fraction 214/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 214/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 214/42.

step 2 The numerator is greater than the denominator of the fraction 214/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 214/42
= 210 + 4/42
= (5 x 42) + 4/42

step 3 Make the above expression as individual fractions:
= (5 x 42)/42 + 4/42

step 4 Simplify the above expression:
= 5 x 42/42 + 4/42
= 5 + 4/42
= 5 + 2 x 2/21 x 2
= 5 + 2/21
5 + 2/21 can be written as a mixed number 5 ²/₂₁.


step 5 Find the decimal equivalent for the fractional part 2/21 in the above expression:
= 5 + 0.0952
= 5.0952
214/42 = 5.0952

Hence,
214/42 as a decimal is 5.0952
214/42 as a mixed number is 5 ²/₂₁