345/105 as a Decimal and Mixed Number

345/105 as a decimal and mixed number expansion provides the detailed information about what is 345/105 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/105 as a Decimal
345/105 = 3.2857
Hence,
345/105 as a decimal equals to 3.2857
where,
345/105 is a given fraction,
The decimal expansion of 345/105 is 3.2857

345/105 as a Mixed Number
345/105 = (315 + 30)/105
= 315/105 + 30/105
= 3 + 30/105
= 3 30/105
345/105 = 3 30/105

Hence,
345/105 as a mixed number is 3 ³⁰/₁₀₅
where,
345/105 is a given fraction,
3 ³⁰/₁₀₅ is the mixed number representation of 345/105.

The below work with steps provide the detailed information about how to convert fraction 345/105 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/105

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/105.

step 2 The numerator is greater than the denominator of the fraction 345/105, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/105
= 315 + 30/105
= (3 x 105) + 30/105

step 3 Make the above expression as individual fractions:
= (3 x 105)/105 + 30/105

step 4 Simplify the above expression:
= 3 x 105/105 + 30/105
= 3 + 30/105
= 3 + 2 x 15/7 x 15
= 3 + 2/7
3 + 2/7 can be written as a mixed number 3 ²/₇.


step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 3 + 0.2857
= 3.2857
345/105 = 3.2857

Hence,
345/105 as a decimal is 3.2857
345/105 as a mixed number is 3 ²/₇