164/48 as a Decimal and Mixed Number

164/48 as a decimal and mixed number expansion provides the detailed information about what is 164/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/48 as a Decimal
164/48 = 3.4167
Hence,
164/48 as a decimal equals to 3.4167
where,
164/48 is a given fraction,
The decimal expansion of 164/48 is 3.4167

164/48 as a Mixed Number
164/48 = (144 + 20)/48
= 144/48 + 20/48
= 3 + 20/48
= 3 20/48
164/48 = 3 20/48

Hence,
164/48 as a mixed number is 3 ²⁰/₄₈
where,
164/48 is a given fraction,
3 ²⁰/₄₈ is the mixed number representation of 164/48.

The below work with steps provide the detailed information about how to convert fraction 164/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/48.

step 2 The numerator is greater than the denominator of the fraction 164/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/48
= 144 + 20/48
= (3 x 48) + 20/48

step 3 Make the above expression as individual fractions:
= (3 x 48)/48 + 20/48

step 4 Simplify the above expression:
= 3 x 48/48 + 20/48
= 3 + 20/48
= 3 + 5 x 4/12 x 4
= 3 + 5/12
3 + 5/12 can be written as a mixed number 3 ⁵/₁₂.


step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
= 3 + 0.4167
= 3.4167
164/48 = 3.4167

Hence,
164/48 as a decimal is 3.4167
164/48 as a mixed number is 3 ⁵/₁₂