164/42 as a Decimal and Mixed Number

164/42 as a decimal and mixed number expansion provides the detailed information about what is 164/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/42 as a Decimal
164/42 = 3.9048
Hence,
164/42 as a decimal equals to 3.9048
where,
164/42 is a given fraction,
The decimal expansion of 164/42 is 3.9048

164/42 as a Mixed Number
164/42 = (126 + 38)/42
= 126/42 + 38/42
= 3 + 38/42
= 3 38/42
164/42 = 3 38/42

Hence,
164/42 as a mixed number is 3 ³⁸/₄₂
where,
164/42 is a given fraction,
3 ³⁸/₄₂ is the mixed number representation of 164/42.

The below work with steps provide the detailed information about how to convert fraction 164/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/42.

step 2 The numerator is greater than the denominator of the fraction 164/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/42
= 126 + 38/42
= (3 x 42) + 38/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 38/42

step 4 Simplify the above expression:
= 3 x 42/42 + 38/42
= 3 + 38/42
= 3 + 19 x 2/21 x 2
= 3 + 19/21
3 + 19/21 can be written as a mixed number 3 ¹⁹/₂₁.


step 5 Find the decimal equivalent for the fractional part 19/21 in the above expression:
= 3 + 0.9048
= 3.9048
164/42 = 3.9048

Hence,
164/42 as a decimal is 3.9048
164/42 as a mixed number is 3 ¹⁹/₂₁