155/33 as a Decimal and Mixed Number

155/33 as a decimal and mixed number expansion provides the detailed information about what is 155/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

155/33 as a Decimal
155/33 = 4.697
Hence,
155/33 as a decimal equals to 4.697
where,
155/33 is a given fraction,
The decimal expansion of 155/33 is 4.697

155/33 as a Mixed Number
155/33 = (132 + 23)/33
= 132/33 + 23/33
= 4 + 23/33
= 4 23/33
155/33 = 4 23/33

Hence,
155/33 as a mixed number is 4 ²³/₃₃
where,
155/33 is a given fraction,
4 ²³/₃₃ is the mixed number representation of 155/33.

The below work with steps provide the detailed information about how to convert fraction 155/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 155/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 155/33.

step 2 The numerator is greater than the denominator of the fraction 155/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 155/33
= 132 + 23/33
= (4 x 33) + 23/33

step 3 Make the above expression as individual fractions:
= (4 x 33)/33 + 23/33

step 4 Simplify the above expression:
= 4 x 33/33 + 23/33
= 4 + 23/33
4 + 23/33 can be written as a mixed number 4 ²³/₃₃.


step 5 Find the decimal equivalent for the fractional part 23/33 in the above expression:
= 4 + 0.697
= 4.697
155/33 = 4.697

Hence,
155/33 as a decimal is 4.697
155/33 as a mixed number is 4 ²³/₃₃