196/42 as a Decimal and Mixed Number

196/42 as a decimal and mixed number expansion provides the detailed information about what is 196/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

196/42 as a Decimal
196/42 = 4.6667
Hence,
196/42 as a decimal equals to 4.6667
where,
196/42 is a given fraction,
The decimal expansion of 196/42 is 4.6667

196/42 as a Mixed Number
196/42 = (168 + 28)/42
= 168/42 + 28/42
= 4 + 28/42
= 4 28/42
196/42 = 4 28/42

Hence,
196/42 as a mixed number is 4 ²⁸/₄₂
where,
196/42 is a given fraction,
4 ²⁸/₄₂ is the mixed number representation of 196/42.

The below work with steps provide the detailed information about how to convert fraction 196/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 196/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 196/42.

step 2 The numerator is greater than the denominator of the fraction 196/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 196/42
= 168 + 28/42
= (4 x 42) + 28/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 28/42

step 4 Simplify the above expression:
= 4 x 42/42 + 28/42
= 4 + 28/42
= 4 + 2 x 14/3 x 14
= 4 + 2/3
4 + 2/3 can be written as a mixed number 4 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 4 + 0.6667
= 4.6667
196/42 = 4.6667

Hence,
196/42 as a decimal is 4.6667
196/42 as a mixed number is 4 ²/₃