345/85 as a Decimal and Mixed Number

345/85 as a decimal and mixed number expansion provides the detailed information about what is 345/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/85 as a Decimal
345/85 = 4.0588
Hence,
345/85 as a decimal equals to 4.0588
where,
345/85 is a given fraction,
The decimal expansion of 345/85 is 4.0588

345/85 as a Mixed Number
345/85 = (340 + 5)/85
= 340/85 + 5/85
= 4 + 5/85
= 4 5/85
345/85 = 4 5/85

Hence,
345/85 as a mixed number is 4 ⁵/₈₅
where,
345/85 is a given fraction,
4 ⁵/₈₅ is the mixed number representation of 345/85.

The below work with steps provide the detailed information about how to convert fraction 345/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/85

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/85.

step 2 The numerator is greater than the denominator of the fraction 345/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/85
= 340 + 5/85
= (4 x 85) + 5/85

step 3 Make the above expression as individual fractions:
= (4 x 85)/85 + 5/85

step 4 Simplify the above expression:
= 4 x 85/85 + 5/85
= 4 + 5/85
= 4 + 1 x 5/17 x 5
= 4 + 1/17
4 + 1/17 can be written as a mixed number 4 ¹/₁₇.


step 5 Find the decimal equivalent for the fractional part 1/17 in the above expression:
= 4 + 0.0588
= 4.0588
345/85 = 4.0588

Hence,
345/85 as a decimal is 4.0588
345/85 as a mixed number is 4 ¹/₁₇