330/308 as a Decimal and Mixed Number

330/308 as a decimal and mixed number expansion provides the detailed information about what is 330/308 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/308 as a Decimal
330/308 = 1.0714
Hence,
330/308 as a decimal equals to 1.0714
where,
330/308 is a given fraction,
The decimal expansion of 330/308 is 1.0714

330/308 as a Mixed Number
330/308 = (308 + 22)/308
= 308/308 + 22/308
= 1 + 22/308
= 1 22/308
330/308 = 1 22/308

Hence,
330/308 as a mixed number is 1 ²²/₃₀₈
where,
330/308 is a given fraction,
1 ²²/₃₀₈ is the mixed number representation of 330/308.

The below work with steps provide the detailed information about how to convert fraction 330/308 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/308

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/308.

step 2 The numerator is greater than the denominator of the fraction 330/308, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/308
= 308 + 22/308

step 3 Make the above expression as individual fractions:
= 308/308 + 22/308

step 4 Simplify the above expression:
= 1 x 308/308 + 22/308
= 1 + 22/308
= 1 + 1 x 22/14 x 22
= 1 + 1/14
1 + 1/14 can be written as a mixed number 1 ¹/₁₄.


step 5 Find the decimal equivalent for the fractional part 1/14 in the above expression:
= 1 + 0.0714
= 1.0714
330/308 = 1.0714

Hence,
330/308 as a decimal is 1.0714
330/308 as a mixed number is 1 ¹/₁₄