158/52 as a Decimal and Mixed Number

158/52 as a decimal and mixed number expansion provides the detailed information about what is 158/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

158/52 as a Decimal
158/52 = 3.0385
Hence,
158/52 as a decimal equals to 3.0385
where,
158/52 is a given fraction,
The decimal expansion of 158/52 is 3.0385

158/52 as a Mixed Number
158/52 = (156 + 2)/52
= 156/52 + 2/52
= 3 + 2/52
= 3 2/52
158/52 = 3 2/52

Hence,
158/52 as a mixed number is 3 ²/₅₂
where,
158/52 is a given fraction,
3 ²/₅₂ is the mixed number representation of 158/52.

The below work with steps provide the detailed information about how to convert fraction 158/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 158/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 158/52.

step 2 The numerator is greater than the denominator of the fraction 158/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 158/52
= 156 + 2/52
= (3 x 52) + 2/52

step 3 Make the above expression as individual fractions:
= (3 x 52)/52 + 2/52

step 4 Simplify the above expression:
= 3 x 52/52 + 2/52
= 3 + 2/52
= 3 + 1 x 2/26 x 2
= 3 + 1/26
3 + 1/26 can be written as a mixed number 3 ¹/₂₆.


step 5 Find the decimal equivalent for the fractional part 1/26 in the above expression:
= 3 + 0.0385
= 3.0385
158/52 = 3.0385

Hence,
158/52 as a decimal is 3.0385
158/52 as a mixed number is 3 ¹/₂₆