205/120 as a Decimal and Mixed Number

205/120 as a decimal and mixed number expansion provides the detailed information about what is 205/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

205/120 as a Decimal
205/120 = 1.7083
Hence,
205/120 as a decimal equals to 1.7083
where,
205/120 is a given fraction,
The decimal expansion of 205/120 is 1.7083

205/120 as a Mixed Number
205/120 = (120 + 85)/120
= 120/120 + 85/120
= 1 + 85/120
= 1 85/120
205/120 = 1 85/120

Hence,
205/120 as a mixed number is 1 ⁸⁵/₁₂₀
where,
205/120 is a given fraction,
1 ⁸⁵/₁₂₀ is the mixed number representation of 205/120.

The below work with steps provide the detailed information about how to convert fraction 205/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 205/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 205/120.

step 2 The numerator is greater than the denominator of the fraction 205/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 205/120
= 120 + 85/120

step 3 Make the above expression as individual fractions:
= 120/120 + 85/120

step 4 Simplify the above expression:
= 1 x 120/120 + 85/120
= 1 + 85/120
= 1 + 17 x 5/24 x 5
= 1 + 17/24
1 + 17/24 can be written as a mixed number 1 ¹⁷/₂₄.


step 5 Find the decimal equivalent for the fractional part 17/24 in the above expression:
= 1 + 0.7083
= 1.7083
205/120 = 1.7083

Hence,
205/120 as a decimal is 1.7083
205/120 as a mixed number is 1 ¹⁷/₂₄