164/60 as a Decimal and Mixed Number

164/60 as a decimal and mixed number expansion provides the detailed information about what is 164/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/60 as a Decimal
164/60 = 2.7333
Hence,
164/60 as a decimal equals to 2.7333
where,
164/60 is a given fraction,
The decimal expansion of 164/60 is 2.7333

164/60 as a Mixed Number
164/60 = (120 + 44)/60
= 120/60 + 44/60
= 2 + 44/60
= 2 44/60
164/60 = 2 44/60

Hence,
164/60 as a mixed number is 2 ⁴⁴/₆₀
where,
164/60 is a given fraction,
2 ⁴⁴/₆₀ is the mixed number representation of 164/60.

The below work with steps provide the detailed information about how to convert fraction 164/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/60.

step 2 The numerator is greater than the denominator of the fraction 164/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/60
= 120 + 44/60
= (2 x 60) + 44/60

step 3 Make the above expression as individual fractions:
= (2 x 60)/60 + 44/60

step 4 Simplify the above expression:
= 2 x 60/60 + 44/60
= 2 + 44/60
= 2 + 11 x 4/15 x 4
= 2 + 11/15
2 + 11/15 can be written as a mixed number 2 ¹¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 11/15 in the above expression:
= 2 + 0.7333
= 2.7333
164/60 = 2.7333

Hence,
164/60 as a decimal is 2.7333
164/60 as a mixed number is 2 ¹¹/₁₅