218/42 as a Decimal and Mixed Number

218/42 as a decimal and mixed number expansion provides the detailed information about what is 218/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

218/42 as a Decimal
218/42 = 5.1905
Hence,
218/42 as a decimal equals to 5.1905
where,
218/42 is a given fraction,
The decimal expansion of 218/42 is 5.1905

218/42 as a Mixed Number
218/42 = (210 + 8)/42
= 210/42 + 8/42
= 5 + 8/42
= 5 8/42
218/42 = 5 8/42

Hence,
218/42 as a mixed number is 5 ⁸/₄₂
where,
218/42 is a given fraction,
5 ⁸/₄₂ is the mixed number representation of 218/42.

The below work with steps provide the detailed information about how to convert fraction 218/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 218/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 218/42.

step 2 The numerator is greater than the denominator of the fraction 218/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 218/42
= 210 + 8/42
= (5 x 42) + 8/42

step 3 Make the above expression as individual fractions:
= (5 x 42)/42 + 8/42

step 4 Simplify the above expression:
= 5 x 42/42 + 8/42
= 5 + 8/42
= 5 + 4 x 2/21 x 2
= 5 + 4/21
5 + 4/21 can be written as a mixed number 5 ⁴/₂₁.


step 5 Find the decimal equivalent for the fractional part 4/21 in the above expression:
= 5 + 0.1905
= 5.1905
218/42 = 5.1905

Hence,
218/42 as a decimal is 5.1905
218/42 as a mixed number is 5 ⁴/₂₁