195/60 as a Decimal and Mixed Number

195/60 as a decimal and mixed number expansion provides the detailed information about what is 195/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

195/60 as a Decimal
195/60 = 3.25
Hence,
195/60 as a decimal equals to 3.25
where,
195/60 is a given fraction,
The decimal expansion of 195/60 is 3.25

195/60 as a Mixed Number
195/60 = (180 + 15)/60
= 180/60 + 15/60
= 3 + 15/60
= 3 15/60
195/60 = 3 15/60

Hence,
195/60 as a mixed number is 3 ¹⁵/₆₀
where,
195/60 is a given fraction,
3 ¹⁵/₆₀ is the mixed number representation of 195/60.

The below work with steps provide the detailed information about how to convert fraction 195/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 195/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 195/60.

step 2 The numerator is greater than the denominator of the fraction 195/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 195/60
= 180 + 15/60
= (3 x 60) + 15/60

step 3 Make the above expression as individual fractions:
= (3 x 60)/60 + 15/60

step 4 Simplify the above expression:
= 3 x 60/60 + 15/60
= 3 + 15/60
= 3 + 1 x 15/4 x 15
= 3 + 1/4
3 + 1/4 can be written as a mixed number 3 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (1/4 x 25/25)
= 3 + 25/100

step 6 Simplify the above expression further:
= 3 + 0.25
= 3.25
195/60 = 3.25

Hence,
195/60 as a decimal is 3.25
195/60 as a mixed number is 3 ¹/₄