345/305 as a Decimal and Mixed Number

345/305 as a decimal and mixed number expansion provides the detailed information about what is 345/305 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/305 as a Decimal
345/305 = 1.1311
Hence,
345/305 as a decimal equals to 1.1311
where,
345/305 is a given fraction,
The decimal expansion of 345/305 is 1.1311

345/305 as a Mixed Number
345/305 = (305 + 40)/305
= 305/305 + 40/305
= 1 + 40/305
= 1 40/305
345/305 = 1 40/305

Hence,
345/305 as a mixed number is 1 ⁴⁰/₃₀₅
where,
345/305 is a given fraction,
1 ⁴⁰/₃₀₅ is the mixed number representation of 345/305.

The below work with steps provide the detailed information about how to convert fraction 345/305 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/305

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/305.

step 2 The numerator is greater than the denominator of the fraction 345/305, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/305
= 305 + 40/305

step 3 Make the above expression as individual fractions:
= 305/305 + 40/305

step 4 Simplify the above expression:
= 1 x 305/305 + 40/305
= 1 + 40/305
= 1 + 8 x 5/61 x 5
= 1 + 8/61
1 + 8/61 can be written as a mixed number 1 ⁸/₆₁.


step 5 Find the decimal equivalent for the fractional part 8/61 in the above expression:
= 1 + 0.1311
= 1.1311
345/305 = 1.1311

Hence,
345/305 as a decimal is 1.1311
345/305 as a mixed number is 1 ⁸/₆₁