175/33 as a Decimal and Mixed Number

175/33 as a decimal and mixed number expansion provides the detailed information about what is 175/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

175/33 as a Decimal
175/33 = 5.303
Hence,
175/33 as a decimal equals to 5.303
where,
175/33 is a given fraction,
The decimal expansion of 175/33 is 5.303

175/33 as a Mixed Number
175/33 = (165 + 10)/33
= 165/33 + 10/33
= 5 + 10/33
= 5 10/33
175/33 = 5 10/33

Hence,
175/33 as a mixed number is 5 ¹⁰/₃₃
where,
175/33 is a given fraction,
5 ¹⁰/₃₃ is the mixed number representation of 175/33.

The below work with steps provide the detailed information about how to convert fraction 175/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/33.

step 2 The numerator is greater than the denominator of the fraction 175/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/33
= 165 + 10/33
= (5 x 33) + 10/33

step 3 Make the above expression as individual fractions:
= (5 x 33)/33 + 10/33

step 4 Simplify the above expression:
= 5 x 33/33 + 10/33
= 5 + 10/33
5 + 10/33 can be written as a mixed number 5 ¹⁰/₃₃.


step 5 Find the decimal equivalent for the fractional part 10/33 in the above expression:
= 5 + 0.303
= 5.303
175/33 = 5.303

Hence,
175/33 as a decimal is 5.303
175/33 as a mixed number is 5 ¹⁰/₃₃