270/258 as a Decimal and Mixed Number

270/258 as a decimal and mixed number expansion provides the detailed information about what is 270/258 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/258 as a Decimal
270/258 = 1.0465
Hence,
270/258 as a decimal equals to 1.0465
where,
270/258 is a given fraction,
The decimal expansion of 270/258 is 1.0465

270/258 as a Mixed Number
270/258 = (258 + 12)/258
= 258/258 + 12/258
= 1 + 12/258
= 1 12/258
270/258 = 1 12/258

Hence,
270/258 as a mixed number is 1 ¹²/₂₅₈
where,
270/258 is a given fraction,
1 ¹²/₂₅₈ is the mixed number representation of 270/258.

The below work with steps provide the detailed information about how to convert fraction 270/258 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/258

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/258.

step 2 The numerator is greater than the denominator of the fraction 270/258, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/258
= 258 + 12/258

step 3 Make the above expression as individual fractions:
= 258/258 + 12/258

step 4 Simplify the above expression:
= 1 x 258/258 + 12/258
= 1 + 12/258
= 1 + 2 x 6/43 x 6
= 1 + 2/43
1 + 2/43 can be written as a mixed number 1 ²/₄₃.


step 5 Find the decimal equivalent for the fractional part 2/43 in the above expression:
= 1 + 0.0465
= 1.0465
270/258 = 1.0465

Hence,
270/258 as a decimal is 1.0465
270/258 as a mixed number is 1 ²/₄₃