204/170 as a Decimal and Mixed Number

204/170 as a decimal and mixed number expansion provides the detailed information about what is 204/170 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/170 as a Decimal
204/170 = 1.2
Hence,
204/170 as a decimal equals to 1.2
where,
204/170 is a given fraction,
The decimal expansion of 204/170 is 1.2

204/170 as a Mixed Number
204/170 = (170 + 34)/170
= 170/170 + 34/170
= 1 + 34/170
= 1 34/170
204/170 = 1 34/170

Hence,
204/170 as a mixed number is 1 ³⁴/₁₇₀
where,
204/170 is a given fraction,
1 ³⁴/₁₇₀ is the mixed number representation of 204/170.

The below work with steps provide the detailed information about how to convert fraction 204/170 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/170

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/170.

step 2 The numerator is greater than the denominator of the fraction 204/170, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/170
= 170 + 34/170

step 3 Make the above expression as individual fractions:
= 170/170 + 34/170

step 4 Simplify the above expression:
= 1 x 170/170 + 34/170
= 1 + 34/170
= 1 + 1 x 34/5 x 34
= 1 + 1/5
1 + 1/5 can be written as a mixed number 1 ¹/₅.


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

step 6 Simplify the above expression further:
= 1 + 0.2
= 1.2
204/170 = 1.2

Hence,
204/170 as a decimal is 1.2
204/170 as a mixed number is 1 ¹/₅