164/52 as a Decimal and Mixed Number

164/52 as a decimal and mixed number expansion provides the detailed information about what is 164/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/52 as a Decimal
164/52 = 3.1538
Hence,
164/52 as a decimal equals to 3.1538
where,
164/52 is a given fraction,
The decimal expansion of 164/52 is 3.1538

164/52 as a Mixed Number
164/52 = (156 + 8)/52
= 156/52 + 8/52
= 3 + 8/52
= 3 8/52
164/52 = 3 8/52

Hence,
164/52 as a mixed number is 3 ⁸/₅₂
where,
164/52 is a given fraction,
3 ⁸/₅₂ is the mixed number representation of 164/52.

The below work with steps provide the detailed information about how to convert fraction 164/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/52.

step 2 The numerator is greater than the denominator of the fraction 164/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/52
= 156 + 8/52
= (3 x 52) + 8/52

step 3 Make the above expression as individual fractions:
= (3 x 52)/52 + 8/52

step 4 Simplify the above expression:
= 3 x 52/52 + 8/52
= 3 + 8/52
= 3 + 2 x 4/13 x 4
= 3 + 2/13
3 + 2/13 can be written as a mixed number 3 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 3 + 0.1538
= 3.1538
164/52 = 3.1538

Hence,
164/52 as a decimal is 3.1538
164/52 as a mixed number is 3 ²/₁₃