285/75 as a Decimal and Mixed Number

285/75 as a decimal and mixed number expansion provides the detailed information about what is 285/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

285/75 as a Decimal
285/75 = 3.8
Hence,
285/75 as a decimal equals to 3.8
where,
285/75 is a given fraction,
The decimal expansion of 285/75 is 3.8

285/75 as a Mixed Number
285/75 = (225 + 60)/75
= 225/75 + 60/75
= 3 + 60/75
= 3 60/75
285/75 = 3 60/75

Hence,
285/75 as a mixed number is 3 ⁶⁰/₇₅
where,
285/75 is a given fraction,
3 ⁶⁰/₇₅ is the mixed number representation of 285/75.

The below work with steps provide the detailed information about how to convert fraction 285/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 285/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 285/75.

step 2 The numerator is greater than the denominator of the fraction 285/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 285/75
= 225 + 60/75
= (3 x 75) + 60/75

step 3 Make the above expression as individual fractions:
= (3 x 75)/75 + 60/75

step 4 Simplify the above expression:
= 3 x 75/75 + 60/75
= 3 + 60/75
= 3 + 4 x 15/5 x 15
= 3 + 4/5
3 + 4/5 can be written as a mixed number 3 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (4/5 x 2/2)
= 3 + 8/10

step 6 Simplify the above expression further:
= 3 + 0.8
= 3.8
285/75 = 3.8

Hence,
285/75 as a decimal is 3.8
285/75 as a mixed number is 3 ⁴/₅