174/42 as a Decimal and Mixed Number

174/42 as a decimal and mixed number expansion provides the detailed information about what is 174/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/42 as a Decimal
174/42 = 4.1429
Hence,
174/42 as a decimal equals to 4.1429
where,
174/42 is a given fraction,
The decimal expansion of 174/42 is 4.1429

174/42 as a Mixed Number
174/42 = (168 + 6)/42
= 168/42 + 6/42
= 4 + 6/42
= 4 6/42
174/42 = 4 6/42

Hence,
174/42 as a mixed number is 4 ⁶/₄₂
where,
174/42 is a given fraction,
4 ⁶/₄₂ is the mixed number representation of 174/42.

The below work with steps provide the detailed information about how to convert fraction 174/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/42.

step 2 The numerator is greater than the denominator of the fraction 174/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/42
= 168 + 6/42
= (4 x 42) + 6/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 6/42

step 4 Simplify the above expression:
= 4 x 42/42 + 6/42
= 4 + 6/42
= 4 + 1 x 6/7 x 6
= 4 + 1/7
4 + 1/7 can be written as a mixed number 4 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 4 + 0.1429
= 4.1429
174/42 = 4.1429

Hence,
174/42 as a decimal is 4.1429
174/42 as a mixed number is 4 ¹/₇