321/216 as a Decimal and Mixed Number

321/216 as a decimal and mixed number expansion provides the detailed information about what is 321/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

321/216 as a Decimal
321/216 = 1.4861
Hence,
321/216 as a decimal equals to 1.4861
where,
321/216 is a given fraction,
The decimal expansion of 321/216 is 1.4861

321/216 as a Mixed Number
321/216 = (216 + 105)/216
= 216/216 + 105/216
= 1 + 105/216
= 1 105/216
321/216 = 1 105/216

Hence,
321/216 as a mixed number is 1 ¹⁰⁵/₂₁₆
where,
321/216 is a given fraction,
1 ¹⁰⁵/₂₁₆ is the mixed number representation of 321/216.

The below work with steps provide the detailed information about how to convert fraction 321/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 321/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 321/216.

step 2 The numerator is greater than the denominator of the fraction 321/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 321/216
= 216 + 105/216

step 3 Make the above expression as individual fractions:
= 216/216 + 105/216

step 4 Simplify the above expression:
= 1 x 216/216 + 105/216
= 1 + 105/216
= 1 + 35 x 3/72 x 3
= 1 + 35/72
1 + 35/72 can be written as a mixed number 1 ³⁵/₇₂.


step 5 Find the decimal equivalent for the fractional part 35/72 in the above expression:
= 1 + 0.4861
= 1.4861
321/216 = 1.4861

Hence,
321/216 as a decimal is 1.4861
321/216 as a mixed number is 1 ³⁵/₇₂