311/248 as a Decimal and Mixed Number

311/248 as a decimal and mixed number expansion provides the detailed information about what is 311/248 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

311/248 as a Decimal
311/248 = 1.254
Hence,
311/248 as a decimal equals to 1.254
where,
311/248 is a given fraction,
The decimal expansion of 311/248 is 1.254

311/248 as a Mixed Number
311/248 = (248 + 63)/248
= 248/248 + 63/248
= 1 + 63/248
= 1 63/248
311/248 = 1 63/248

Hence,
311/248 as a mixed number is 1 ⁶³/₂₄₈
where,
311/248 is a given fraction,
1 ⁶³/₂₄₈ is the mixed number representation of 311/248.

The below work with steps provide the detailed information about how to convert fraction 311/248 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 311/248

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 311/248.

step 2 The numerator is greater than the denominator of the fraction 311/248, so write the given fraction in the expression form in terms of denominator as like the below:
= 311/248
= 248 + 63/248

step 3 Make the above expression as individual fractions:
= 248/248 + 63/248

step 4 Simplify the above expression:
= 1 x 248/248 + 63/248
= 1 + 63/248
1 + 63/248 can be written as a mixed number 1 ⁶³/₂₄₈.


step 5 Find the decimal equivalent for the fractional part 63/248 in the above expression:
= 1 + 0.254
= 1.254
311/248 = 1.254

Hence,
311/248 as a decimal is 1.254
311/248 as a mixed number is 1 ⁶³/₂₄₈