195/42 as a Decimal and Mixed Number

195/42 as a decimal and mixed number expansion provides the detailed information about what is 195/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

195/42 as a Decimal
195/42 = 4.6429
Hence,
195/42 as a decimal equals to 4.6429
where,
195/42 is a given fraction,
The decimal expansion of 195/42 is 4.6429

195/42 as a Mixed Number
195/42 = (168 + 27)/42
= 168/42 + 27/42
= 4 + 27/42
= 4 27/42
195/42 = 4 27/42

Hence,
195/42 as a mixed number is 4 ²⁷/₄₂
where,
195/42 is a given fraction,
4 ²⁷/₄₂ is the mixed number representation of 195/42.

The below work with steps provide the detailed information about how to convert fraction 195/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 195/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 195/42.

step 2 The numerator is greater than the denominator of the fraction 195/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 195/42
= 168 + 27/42
= (4 x 42) + 27/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 27/42

step 4 Simplify the above expression:
= 4 x 42/42 + 27/42
= 4 + 27/42
= 4 + 9 x 3/14 x 3
= 4 + 9/14
4 + 9/14 can be written as a mixed number 4 ⁹/₁₄.


step 5 Find the decimal equivalent for the fractional part 9/14 in the above expression:
= 4 + 0.6429
= 4.6429
195/42 = 4.6429

Hence,
195/42 as a decimal is 4.6429
195/42 as a mixed number is 4 ⁹/₁₄