355/310 as a Decimal and Mixed Number

355/310 as a decimal and mixed number expansion provides the detailed information about what is 355/310 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/310 as a Decimal
355/310 = 1.1452
Hence,
355/310 as a decimal equals to 1.1452
where,
355/310 is a given fraction,
The decimal expansion of 355/310 is 1.1452

355/310 as a Mixed Number
355/310 = (310 + 45)/310
= 310/310 + 45/310
= 1 + 45/310
= 1 45/310
355/310 = 1 45/310

Hence,
355/310 as a mixed number is 1 ⁴⁵/₃₁₀
where,
355/310 is a given fraction,
1 ⁴⁵/₃₁₀ is the mixed number representation of 355/310.

The below work with steps provide the detailed information about how to convert fraction 355/310 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/310

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/310.

step 2 The numerator is greater than the denominator of the fraction 355/310, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/310
= 310 + 45/310

step 3 Make the above expression as individual fractions:
= 310/310 + 45/310

step 4 Simplify the above expression:
= 1 x 310/310 + 45/310
= 1 + 45/310
= 1 + 9 x 5/62 x 5
= 1 + 9/62
1 + 9/62 can be written as a mixed number 1 ⁹/₆₂.


step 5 Find the decimal equivalent for the fractional part 9/62 in the above expression:
= 1 + 0.1452
= 1.1452
355/310 = 1.1452

Hence,
355/310 as a decimal is 1.1452
355/310 as a mixed number is 1 ⁹/₆₂