201/200 as a Decimal and Mixed Number

201/200 as a decimal and mixed number expansion provides the detailed information about what is 201/200 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

201/200 as a Decimal
201/200 = 1.005
Hence,
201/200 as a decimal equals to 1.005
where,
201/200 is a given fraction,
The decimal expansion of 201/200 is 1.005

201/200 as a Mixed Number
201/200 = (200 + 1)/200
= 200/200 + 1/200
= 1 + 1/200
= 1 1/200
201/200 = 1 1/200

Hence,
201/200 as a mixed number is 1 ¹/₂₀₀
where,
201/200 is a given fraction,
1 ¹/₂₀₀ is the mixed number representation of 201/200.

The below work with steps provide the detailed information about how to convert fraction 201/200 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 201/200

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 201/200.

step 2 Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 201/200 x 5/5
= 1005/1000


step 3 The numerator 1005 of fraction 1005/1000 can also be expressed as 1.005. Being 1000 as the denominator, move the decimal point 3 decimal places from right to left in the numerator to write the fraction as decimal number.
= 1005/1000
= 1.005

Hence,
201/200 as a decimal is 1.005