330/309 as a Decimal and Mixed Number

330/309 as a decimal and mixed number expansion provides the detailed information about what is 330/309 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/309 as a Decimal
330/309 = 1.068
Hence,
330/309 as a decimal equals to 1.068
where,
330/309 is a given fraction,
The decimal expansion of 330/309 is 1.068

330/309 as a Mixed Number
330/309 = (309 + 21)/309
= 309/309 + 21/309
= 1 + 21/309
= 1 21/309
330/309 = 1 21/309

Hence,
330/309 as a mixed number is 1 ²¹/₃₀₉
where,
330/309 is a given fraction,
1 ²¹/₃₀₉ is the mixed number representation of 330/309.

The below work with steps provide the detailed information about how to convert fraction 330/309 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/309

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/309.

step 2 The numerator is greater than the denominator of the fraction 330/309, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/309
= 309 + 21/309

step 3 Make the above expression as individual fractions:
= 309/309 + 21/309

step 4 Simplify the above expression:
= 1 x 309/309 + 21/309
= 1 + 21/309
= 1 + 7 x 3/103 x 3
= 1 + 7/103
1 + 7/103 can be written as a mixed number 1 ⁷/₁₀₃.


step 5 Find the decimal equivalent for the fractional part 7/103 in the above expression:
= 1 + 0.068
= 1.068
330/309 = 1.068

Hence,
330/309 as a decimal is 1.068
330/309 as a mixed number is 1 ⁷/₁₀₃