345/110 as a decimal and mixed number expansion provides the detailed information about what is 345/110 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
345/110 as a Decimal
345/110 = 3.1364
Hence,
345/110 as a decimal equals to 3.1364
where,
345/110 is a given fraction,
The decimal expansion of 345/110 is 3.1364
345/110 as a Mixed Number
345/110 = (330 + 15)/110
= 330/110 + 15/110
= 3 + 15/110
= 3 15/110
345/110 = 3 15/110
Hence,
345/110 as a mixed number is 3 15/110
where,
345/110 is a given fraction,
3 15/110 is the mixed number representation of 345/110.
The below work with steps provide the detailed information about how to convert fraction 345/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/110
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/110.
step 2 The numerator is greater than the denominator of the fraction 345/110, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/110
= 330 + 15/110
= (3 x 110) + 15/110
step 3 Make the above expression as individual fractions:
= (3 x 110)/110 + 15/110
step 4 Simplify the above expression:
= 3 x 110/110 + 15/110
= 3 + 15/110
= 3 + 3 x 5/22 x 5
= 3 + 3/22
3 + 3/22 can be written as a mixed number 3 3/22.
step 5 Find the decimal equivalent for the fractional part 3/22 in the above expression:
= 3 + 0.1364
= 3.1364
345/110 = 3.1364
Hence,
345/110 as a decimal is 3.1364
345/110 as a mixed number is 3 3/22