270/65 as a Decimal and Mixed Number

270/65 as a decimal and mixed number expansion provides the detailed information about what is 270/65 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/65 as a Decimal
270/65 = 4.1538
Hence,
270/65 as a decimal equals to 4.1538
where,
270/65 is a given fraction,
The decimal expansion of 270/65 is 4.1538

270/65 as a Mixed Number
270/65 = (260 + 10)/65
= 260/65 + 10/65
= 4 + 10/65
= 4 10/65
270/65 = 4 10/65

Hence,
270/65 as a mixed number is 4 ¹⁰/₆₅
where,
270/65 is a given fraction,
4 ¹⁰/₆₅ is the mixed number representation of 270/65.

The below work with steps provide the detailed information about how to convert fraction 270/65 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/65

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/65.

step 2 The numerator is greater than the denominator of the fraction 270/65, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/65
= 260 + 10/65
= (4 x 65) + 10/65

step 3 Make the above expression as individual fractions:
= (4 x 65)/65 + 10/65

step 4 Simplify the above expression:
= 4 x 65/65 + 10/65
= 4 + 10/65
= 4 + 2 x 5/13 x 5
= 4 + 2/13
4 + 2/13 can be written as a mixed number 4 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 4 + 0.1538
= 4.1538
270/65 = 4.1538

Hence,
270/65 as a decimal is 4.1538
270/65 as a mixed number is 4 ²/₁₃