161/42 as a Decimal and Mixed Number

161/42 as a decimal and mixed number expansion provides the detailed information about what is 161/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

161/42 as a Decimal
161/42 = 3.8333
Hence,
161/42 as a decimal equals to 3.8333
where,
161/42 is a given fraction,
The decimal expansion of 161/42 is 3.8333

161/42 as a Mixed Number
161/42 = (126 + 35)/42
= 126/42 + 35/42
= 3 + 35/42
= 3 35/42
161/42 = 3 35/42

Hence,
161/42 as a mixed number is 3 ³⁵/₄₂
where,
161/42 is a given fraction,
3 ³⁵/₄₂ is the mixed number representation of 161/42.

The below work with steps provide the detailed information about how to convert fraction 161/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 161/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 161/42.

step 2 The numerator is greater than the denominator of the fraction 161/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 161/42
= 126 + 35/42
= (3 x 42) + 35/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 35/42

step 4 Simplify the above expression:
= 3 x 42/42 + 35/42
= 3 + 35/42
= 3 + 5 x 7/6 x 7
= 3 + 5/6
3 + 5/6 can be written as a mixed number 3 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 3 + 0.8333
= 3.8333
161/42 = 3.8333

Hence,
161/42 as a decimal is 3.8333
161/42 as a mixed number is 3 ⁵/₆