75/30 as a Decimal and Mixed Number

75/30 as a decimal and mixed number expansion provides the detailed information about what is 75/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/30 as a Decimal
75/30 = 2.5
Hence,
75/30 as a decimal equals to 2.5
where,
75/30 is a given fraction,
The decimal expansion of 75/30 is 2.5

75/30 as a Mixed Number
75/30 = (60 + 15)/30
= 60/30 + 15/30
= 2 + 15/30
= 2 15/30
75/30 = 2 15/30

Hence,
75/30 as a mixed number is 2 ¹⁵/₃₀
where,
75/30 is a given fraction,
2 ¹⁵/₃₀ is the mixed number representation of 75/30.

The below work with steps provide the detailed information about how to convert fraction 75/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/30.

step 2 The numerator is greater than the denominator of the fraction 75/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/30
= 60 + 15/30
= (2 x 30) + 15/30

step 3 Make the above expression as individual fractions:
= (2 x 30)/30 + 15/30

step 4 Simplify the above expression:
= 2 x 30/30 + 15/30
= 2 + 15/30
= 2 + 1 x 15/2 x 15
= 2 + 1/2
2 + 1/2 can be written as a mixed number 2 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (1/2 x 5/5)
= 2 + 5/10

step 6 Simplify the above expression further:
= 2 + 0.5
= 2.5
75/30 = 2.5

Hence,
75/30 as a decimal is 2.5
75/30 as a mixed number is 2 ¹/₂