250/83 as a Decimal and Mixed Number

250/83 as a decimal and mixed number expansion provides the detailed information about what is 250/83 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

250/83 as a Decimal
250/83 = 3.012
Hence,
250/83 as a decimal equals to 3.012
where,
250/83 is a given fraction,
The decimal expansion of 250/83 is 3.012

250/83 as a Mixed Number
250/83 = (249 + 1)/83
= 249/83 + 1/83
= 3 + 1/83
= 3 1/83
250/83 = 3 1/83

Hence,
250/83 as a mixed number is 3 ¹/₈₃
where,
250/83 is a given fraction,
3 ¹/₈₃ is the mixed number representation of 250/83.

The below work with steps provide the detailed information about how to convert fraction 250/83 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 250/83

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 250/83.

step 2 The numerator is greater than the denominator of the fraction 250/83, so write the given fraction in the expression form in terms of denominator as like the below:
= 250/83
= 249 + 1/83
= (3 x 83) + 1/83

step 3 Make the above expression as individual fractions:
= (3 x 83)/83 + 1/83

step 4 Simplify the above expression:
= 3 x 83/83 + 1/83
= 3 + 1/83
3 + 1/83 can be written as a mixed number 3 ¹/₈₃.


step 5 Find the decimal equivalent for the fractional part 1/83 in the above expression:
= 3 + 0.012
= 3.012
250/83 = 3.012

Hence,
250/83 as a decimal is 3.012
250/83 as a mixed number is 3 ¹/₈₃