167/4 as a Decimal and Mixed Number

167/4 as a decimal and mixed number expansion provides the detailed information about what is 167/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/4 as a Decimal
167/4 = 41.75
Hence,
167/4 as a decimal equals to 41.75
where,
167/4 is a given fraction,
The decimal expansion of 167/4 is 41.75

167/4 as a Mixed Number
167/4 = (164 + 3)/4
= 164/4 + 3/4
= 41 + 3/4
= 41 3/4
167/4 = 41 3/4

Hence,
167/4 as a mixed number is 41 ³/₄
where,
167/4 is a given fraction,
41 ³/₄ is the mixed number representation of 167/4.

The below work with steps provide the detailed information about how to convert fraction 167/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/4.

step 2 The numerator is greater than the denominator of the fraction 167/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/4
= 164 + 3/4
= (41 x 4) + 3/4

step 3 Make the above expression as individual fractions:
= (41 x 4)/4 + 3/4

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


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 41 + (3/4 x 25/25)
= 41 + 75/100

step 6 Simplify the above expression further:
= 41 + 0.75
= 41.75
167/4 = 41.75

Hence,
167/4 as a decimal is 41.75
167/4 as a mixed number is 41 ³/₄