270/52 as a Decimal and Mixed Number

270/52 as a decimal and mixed number expansion provides the detailed information about what is 270/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/52 as a Decimal
270/52 = 5.1923
Hence,
270/52 as a decimal equals to 5.1923
where,
270/52 is a given fraction,
The decimal expansion of 270/52 is 5.1923

270/52 as a Mixed Number
270/52 = (260 + 10)/52
= 260/52 + 10/52
= 5 + 10/52
= 5 10/52
270/52 = 5 10/52

Hence,
270/52 as a mixed number is 5 ¹⁰/₅₂
where,
270/52 is a given fraction,
5 ¹⁰/₅₂ is the mixed number representation of 270/52.

The below work with steps provide the detailed information about how to convert fraction 270/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/52.

step 2 The numerator is greater than the denominator of the fraction 270/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/52
= 260 + 10/52
= (5 x 52) + 10/52

step 3 Make the above expression as individual fractions:
= (5 x 52)/52 + 10/52

step 4 Simplify the above expression:
= 5 x 52/52 + 10/52
= 5 + 10/52
= 5 + 5 x 2/26 x 2
= 5 + 5/26
5 + 5/26 can be written as a mixed number 5 ⁵/₂₆.


step 5 Find the decimal equivalent for the fractional part 5/26 in the above expression:
= 5 + 0.1923
= 5.1923
270/52 = 5.1923

Hence,
270/52 as a decimal is 5.1923
270/52 as a mixed number is 5 ⁵/₂₆