300/52 as a Decimal and Mixed Number

300/52 as a decimal and mixed number expansion provides the detailed information about what is 300/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/52 as a Decimal
300/52 = 5.7692
Hence,
300/52 as a decimal equals to 5.7692
where,
300/52 is a given fraction,
The decimal expansion of 300/52 is 5.7692

300/52 as a Mixed Number
300/52 = (260 + 40)/52
= 260/52 + 40/52
= 5 + 40/52
= 5 40/52
300/52 = 5 40/52

Hence,
300/52 as a mixed number is 5 ⁴⁰/₅₂
where,
300/52 is a given fraction,
5 ⁴⁰/₅₂ is the mixed number representation of 300/52.

The below work with steps provide the detailed information about how to convert fraction 300/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/52.

step 2 The numerator is greater than the denominator of the fraction 300/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/52
= 260 + 40/52
= (5 x 52) + 40/52

step 3 Make the above expression as individual fractions:
= (5 x 52)/52 + 40/52

step 4 Simplify the above expression:
= 5 x 52/52 + 40/52
= 5 + 40/52
= 5 + 10 x 4/13 x 4
= 5 + 10/13
5 + 10/13 can be written as a mixed number 5 ¹⁰/₁₃.


step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
= 5 + 0.7692
= 5.7692
300/52 = 5.7692

Hence,
300/52 as a decimal is 5.7692
300/52 as a mixed number is 5 ¹⁰/₁₃