167/42 as a Decimal and Mixed Number

167/42 as a decimal and mixed number expansion provides the detailed information about what is 167/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/42 as a Decimal
167/42 = 3.9762
Hence,
167/42 as a decimal equals to 3.9762
where,
167/42 is a given fraction,
The decimal expansion of 167/42 is 3.9762

167/42 as a Mixed Number
167/42 = (126 + 41)/42
= 126/42 + 41/42
= 3 + 41/42
= 3 41/42
167/42 = 3 41/42

Hence,
167/42 as a mixed number is 3 ⁴¹/₄₂
where,
167/42 is a given fraction,
3 ⁴¹/₄₂ is the mixed number representation of 167/42.

The below work with steps provide the detailed information about how to convert fraction 167/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/42.

step 2 The numerator is greater than the denominator of the fraction 167/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/42
= 126 + 41/42
= (3 x 42) + 41/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 41/42

step 4 Simplify the above expression:
= 3 x 42/42 + 41/42
= 3 + 41/42
3 + 41/42 can be written as a mixed number 3 ⁴¹/₄₂.


step 5 Find the decimal equivalent for the fractional part 41/42 in the above expression:
= 3 + 0.9762
= 3.9762
167/42 = 3.9762

Hence,
167/42 as a decimal is 3.9762
167/42 as a mixed number is 3 ⁴¹/₄₂