200/118 as a Decimal and Mixed Number

200/118 as a decimal and mixed number expansion provides the detailed information about what is 200/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/118 as a Decimal
200/118 = 1.6949
Hence,
200/118 as a decimal equals to 1.6949
where,
200/118 is a given fraction,
The decimal expansion of 200/118 is 1.6949

200/118 as a Mixed Number
200/118 = (118 + 82)/118
= 118/118 + 82/118
= 1 + 82/118
= 1 82/118
200/118 = 1 82/118

Hence,
200/118 as a mixed number is 1 ⁸²/₁₁₈
where,
200/118 is a given fraction,
1 ⁸²/₁₁₈ is the mixed number representation of 200/118.

The below work with steps provide the detailed information about how to convert fraction 200/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/118.

step 2 The numerator is greater than the denominator of the fraction 200/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/118
= 118 + 82/118

step 3 Make the above expression as individual fractions:
= 118/118 + 82/118

step 4 Simplify the above expression:
= 1 x 118/118 + 82/118
= 1 + 82/118
= 1 + 41 x 2/59 x 2
= 1 + 41/59
1 + 41/59 can be written as a mixed number 1 ⁴¹/₅₉.


step 5 Find the decimal equivalent for the fractional part 41/59 in the above expression:
= 1 + 0.6949
= 1.6949
200/118 = 1.6949

Hence,
200/118 as a decimal is 1.6949
200/118 as a mixed number is 1 ⁴¹/₅₉