330/258 as a Decimal and Mixed Number

330/258 as a decimal and mixed number expansion provides the detailed information about what is 330/258 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/258 as a Decimal
330/258 = 1.2791
Hence,
330/258 as a decimal equals to 1.2791
where,
330/258 is a given fraction,
The decimal expansion of 330/258 is 1.2791

330/258 as a Mixed Number
330/258 = (258 + 72)/258
= 258/258 + 72/258
= 1 + 72/258
= 1 72/258
330/258 = 1 72/258

Hence,
330/258 as a mixed number is 1 ⁷²/₂₅₈
where,
330/258 is a given fraction,
1 ⁷²/₂₅₈ is the mixed number representation of 330/258.

The below work with steps provide the detailed information about how to convert fraction 330/258 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/258

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/258.

step 2 The numerator is greater than the denominator of the fraction 330/258, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/258
= 258 + 72/258

step 3 Make the above expression as individual fractions:
= 258/258 + 72/258

step 4 Simplify the above expression:
= 1 x 258/258 + 72/258
= 1 + 72/258
= 1 + 12 x 6/43 x 6
= 1 + 12/43
1 + 12/43 can be written as a mixed number 1 ¹²/₄₃.


step 5 Find the decimal equivalent for the fractional part 12/43 in the above expression:
= 1 + 0.2791
= 1.2791
330/258 = 1.2791

Hence,
330/258 as a decimal is 1.2791
330/258 as a mixed number is 1 ¹²/₄₃