345/30 as a Decimal and Mixed Number

345/30 as a decimal and mixed number expansion provides the detailed information about what is 345/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/30 as a Decimal
345/30 = 11.5
Hence,
345/30 as a decimal equals to 11.5
where,
345/30 is a given fraction,
The decimal expansion of 345/30 is 11.5

345/30 as a Mixed Number
345/30 = (330 + 15)/30
= 330/30 + 15/30
= 11 + 15/30
= 11 15/30
345/30 = 11 15/30

Hence,
345/30 as a mixed number is 11 ¹⁵/₃₀
where,
345/30 is a given fraction,
11 ¹⁵/₃₀ is the mixed number representation of 345/30.

The below work with steps provide the detailed information about how to convert fraction 345/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/30.

step 2 The numerator is greater than the denominator of the fraction 345/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/30
= 330 + 15/30
= (11 x 30) + 15/30

step 3 Make the above expression as individual fractions:
= (11 x 30)/30 + 15/30

step 4 Simplify the above expression:
= 11 x 30/30 + 15/30
= 11 + 15/30
= 11 + 1 x 15/2 x 15
= 11 + 1/2
11 + 1/2 can be written as a mixed number 11 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 11 + (1/2 x 5/5)
= 11 + 5/10

step 6 Simplify the above expression further:
= 11 + 0.5
= 11.5
345/30 = 11.5

Hence,
345/30 as a decimal is 11.5
345/30 as a mixed number is 11 ¹/₂