285/120 as a Decimal and Mixed Number

285/120 as a decimal and mixed number expansion provides the detailed information about what is 285/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

285/120 as a Decimal
285/120 = 2.375
Hence,
285/120 as a decimal equals to 2.375
where,
285/120 is a given fraction,
The decimal expansion of 285/120 is 2.375

285/120 as a Mixed Number
285/120 = (240 + 45)/120
= 240/120 + 45/120
= 2 + 45/120
= 2 45/120
285/120 = 2 45/120

Hence,
285/120 as a mixed number is 2 ⁴⁵/₁₂₀
where,
285/120 is a given fraction,
2 ⁴⁵/₁₂₀ is the mixed number representation of 285/120.

The below work with steps provide the detailed information about how to convert fraction 285/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 285/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 285/120.

step 2 The numerator is greater than the denominator of the fraction 285/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 285/120
= 240 + 45/120
= (2 x 120) + 45/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 45/120

step 4 Simplify the above expression:
= 2 x 120/120 + 45/120
= 2 + 45/120
= 2 + 3 x 15/8 x 15
= 2 + 3/8
2 + 3/8 can be written as a mixed number 2 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (3/8 x 125/125)
= 2 + 375/1000

step 6 Simplify the above expression further:
= 2 + 0.375
= 2.375
285/120 = 2.375

Hence,
285/120 as a decimal is 2.375
285/120 as a mixed number is 2 ³/₈