204/120 as a Decimal and Mixed Number

204/120 as a decimal and mixed number expansion provides the detailed information about what is 204/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/120 as a Decimal
204/120 = 1.7
Hence,
204/120 as a decimal equals to 1.7
where,
204/120 is a given fraction,
The decimal expansion of 204/120 is 1.7

204/120 as a Mixed Number
204/120 = (120 + 84)/120
= 120/120 + 84/120
= 1 + 84/120
= 1 84/120
204/120 = 1 84/120

Hence,
204/120 as a mixed number is 1 ⁸⁴/₁₂₀
where,
204/120 is a given fraction,
1 ⁸⁴/₁₂₀ is the mixed number representation of 204/120.

The below work with steps provide the detailed information about how to convert fraction 204/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/120.

step 2 The numerator is greater than the denominator of the fraction 204/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/120
= 120 + 84/120

step 3 Make the above expression as individual fractions:
= 120/120 + 84/120

step 4 Simplify the above expression:
= 1 x 120/120 + 84/120
= 1 + 84/120
= 1 + 7 x 12/10 x 12
= 1 + 7/10
1 + 7/10 can be written as a mixed number 1 ⁷/₁₀.


step 5 Find the decimal equivalent for the fractional part 7/10 in the above expression:
= 1 + 0.7
= 1.7
204/120 = 1.7

Hence,
204/120 as a decimal is 1.7
204/120 as a mixed number is 1 ⁷/₁₀