172/48 as a Decimal and Mixed Number

172/48 as a decimal and mixed number expansion provides the detailed information about what is 172/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/48 as a Decimal
172/48 = 3.5833
Hence,
172/48 as a decimal equals to 3.5833
where,
172/48 is a given fraction,
The decimal expansion of 172/48 is 3.5833

172/48 as a Mixed Number
172/48 = (144 + 28)/48
= 144/48 + 28/48
= 3 + 28/48
= 3 28/48
172/48 = 3 28/48

Hence,
172/48 as a mixed number is 3 ²⁸/₄₈
where,
172/48 is a given fraction,
3 ²⁸/₄₈ is the mixed number representation of 172/48.

The below work with steps provide the detailed information about how to convert fraction 172/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/48.

step 2 The numerator is greater than the denominator of the fraction 172/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/48
= 144 + 28/48
= (3 x 48) + 28/48

step 3 Make the above expression as individual fractions:
= (3 x 48)/48 + 28/48

step 4 Simplify the above expression:
= 3 x 48/48 + 28/48
= 3 + 28/48
= 3 + 7 x 4/12 x 4
= 3 + 7/12
3 + 7/12 can be written as a mixed number 3 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 3 + 0.5833
= 3.5833
172/48 = 3.5833

Hence,
172/48 as a decimal is 3.5833
172/48 as a mixed number is 3 ⁷/₁₂