345/216 as a Decimal and Mixed Number

345/216 as a decimal and mixed number expansion provides the detailed information about what is 345/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/216 as a Decimal
345/216 = 1.5972
Hence,
345/216 as a decimal equals to 1.5972
where,
345/216 is a given fraction,
The decimal expansion of 345/216 is 1.5972

345/216 as a Mixed Number
345/216 = (216 + 129)/216
= 216/216 + 129/216
= 1 + 129/216
= 1 129/216
345/216 = 1 129/216

Hence,
345/216 as a mixed number is 1 ¹²⁹/₂₁₆
where,
345/216 is a given fraction,
1 ¹²⁹/₂₁₆ is the mixed number representation of 345/216.

The below work with steps provide the detailed information about how to convert fraction 345/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/216.

step 2 The numerator is greater than the denominator of the fraction 345/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/216
= 216 + 129/216

step 3 Make the above expression as individual fractions:
= 216/216 + 129/216

step 4 Simplify the above expression:
= 1 x 216/216 + 129/216
= 1 + 129/216
= 1 + 43 x 3/72 x 3
= 1 + 43/72
1 + 43/72 can be written as a mixed number 1 ⁴³/₇₂.


step 5 Find the decimal equivalent for the fractional part 43/72 in the above expression:
= 1 + 0.5972
= 1.5972
345/216 = 1.5972

Hence,
345/216 as a decimal is 1.5972
345/216 as a mixed number is 1 ⁴³/₇₂