345/55 as a Decimal and Mixed Number

345/55 as a decimal and mixed number expansion provides the detailed information about what is 345/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/55 as a Decimal
345/55 = 6.2727
Hence,
345/55 as a decimal equals to 6.2727
where,
345/55 is a given fraction,
The decimal expansion of 345/55 is 6.2727

345/55 as a Mixed Number
345/55 = (330 + 15)/55
= 330/55 + 15/55
= 6 + 15/55
= 6 15/55
345/55 = 6 15/55

Hence,
345/55 as a mixed number is 6 ¹⁵/₅₅
where,
345/55 is a given fraction,
6 ¹⁵/₅₅ is the mixed number representation of 345/55.

The below work with steps provide the detailed information about how to convert fraction 345/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/55.

step 2 The numerator is greater than the denominator of the fraction 345/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/55
= 330 + 15/55
= (6 x 55) + 15/55

step 3 Make the above expression as individual fractions:
= (6 x 55)/55 + 15/55

step 4 Simplify the above expression:
= 6 x 55/55 + 15/55
= 6 + 15/55
= 6 + 3 x 5/11 x 5
= 6 + 3/11
6 + 3/11 can be written as a mixed number 6 ³/₁₁.


step 5 Find the decimal equivalent for the fractional part 3/11 in the above expression:
= 6 + 0.2727
= 6.2727
345/55 = 6.2727

Hence,
345/55 as a decimal is 6.2727
345/55 as a mixed number is 6 ³/₁₁