200/155 as a Decimal and Mixed Number

200/155 as a decimal and mixed number expansion provides the detailed information about what is 200/155 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/155 as a Decimal
200/155 = 1.2903
Hence,
200/155 as a decimal equals to 1.2903
where,
200/155 is a given fraction,
The decimal expansion of 200/155 is 1.2903

200/155 as a Mixed Number
200/155 = (155 + 45)/155
= 155/155 + 45/155
= 1 + 45/155
= 1 45/155
200/155 = 1 45/155

Hence,
200/155 as a mixed number is 1 ⁴⁵/₁₅₅
where,
200/155 is a given fraction,
1 ⁴⁵/₁₅₅ is the mixed number representation of 200/155.

The below work with steps provide the detailed information about how to convert fraction 200/155 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/155

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/155.

step 2 The numerator is greater than the denominator of the fraction 200/155, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/155
= 155 + 45/155

step 3 Make the above expression as individual fractions:
= 155/155 + 45/155

step 4 Simplify the above expression:
= 1 x 155/155 + 45/155
= 1 + 45/155
= 1 + 9 x 5/31 x 5
= 1 + 9/31
1 + 9/31 can be written as a mixed number 1 ⁹/₃₁.


step 5 Find the decimal equivalent for the fractional part 9/31 in the above expression:
= 1 + 0.2903
= 1.2903
200/155 = 1.2903

Hence,
200/155 as a decimal is 1.2903
200/155 as a mixed number is 1 ⁹/₃₁