200/170 as a Decimal and Mixed Number

200/170 as a decimal and mixed number expansion provides the detailed information about what is 200/170 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/170 as a Decimal
200/170 = 1.1765
Hence,
200/170 as a decimal equals to 1.1765
where,
200/170 is a given fraction,
The decimal expansion of 200/170 is 1.1765

200/170 as a Mixed Number
200/170 = (170 + 30)/170
= 170/170 + 30/170
= 1 + 30/170
= 1 30/170
200/170 = 1 30/170

Hence,
200/170 as a mixed number is 1 ³⁰/₁₇₀
where,
200/170 is a given fraction,
1 ³⁰/₁₇₀ is the mixed number representation of 200/170.

The below work with steps provide the detailed information about how to convert fraction 200/170 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/170

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/170.

step 2 The numerator is greater than the denominator of the fraction 200/170, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/170
= 170 + 30/170

step 3 Make the above expression as individual fractions:
= 170/170 + 30/170

step 4 Simplify the above expression:
= 1 x 170/170 + 30/170
= 1 + 30/170
= 1 + 3 x 10/17 x 10
= 1 + 3/17
1 + 3/17 can be written as a mixed number 1 ³/₁₇.


step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 1 + 0.1765
= 1.1765
200/170 = 1.1765

Hence,
200/170 as a decimal is 1.1765
200/170 as a mixed number is 1 ³/₁₇