178/42 as a Decimal and Mixed Number

178/42 as a decimal and mixed number expansion provides the detailed information about what is 178/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

178/42 as a Decimal
178/42 = 4.2381
Hence,
178/42 as a decimal equals to 4.2381
where,
178/42 is a given fraction,
The decimal expansion of 178/42 is 4.2381

178/42 as a Mixed Number
178/42 = (168 + 10)/42
= 168/42 + 10/42
= 4 + 10/42
= 4 10/42
178/42 = 4 10/42

Hence,
178/42 as a mixed number is 4 ¹⁰/₄₂
where,
178/42 is a given fraction,
4 ¹⁰/₄₂ is the mixed number representation of 178/42.

The below work with steps provide the detailed information about how to convert fraction 178/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 178/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 178/42.

step 2 The numerator is greater than the denominator of the fraction 178/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 178/42
= 168 + 10/42
= (4 x 42) + 10/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 10/42

step 4 Simplify the above expression:
= 4 x 42/42 + 10/42
= 4 + 10/42
= 4 + 5 x 2/21 x 2
= 4 + 5/21
4 + 5/21 can be written as a mixed number 4 ⁵/₂₁.


step 5 Find the decimal equivalent for the fractional part 5/21 in the above expression:
= 4 + 0.2381
= 4.2381
178/42 = 4.2381

Hence,
178/42 as a decimal is 4.2381
178/42 as a mixed number is 4 ⁵/₂₁