299/52 as a Decimal and Mixed Number

299/52 as a decimal and mixed number expansion provides the detailed information about what is 299/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

299/52 as a Decimal
299/52 = 5.75
Hence,
299/52 as a decimal equals to 5.75
where,
299/52 is a given fraction,
The decimal expansion of 299/52 is 5.75

299/52 as a Mixed Number
299/52 = (260 + 39)/52
= 260/52 + 39/52
= 5 + 39/52
= 5 39/52
299/52 = 5 39/52

Hence,
299/52 as a mixed number is 5 ³⁹/₅₂
where,
299/52 is a given fraction,
5 ³⁹/₅₂ is the mixed number representation of 299/52.

The below work with steps provide the detailed information about how to convert fraction 299/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 299/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 299/52.

step 2 The numerator is greater than the denominator of the fraction 299/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 299/52
= 260 + 39/52
= (5 x 52) + 39/52

step 3 Make the above expression as individual fractions:
= (5 x 52)/52 + 39/52

step 4 Simplify the above expression:
= 5 x 52/52 + 39/52
= 5 + 39/52
= 5 + 3 x 13/4 x 13
= 5 + 3/4
5 + 3/4 can be written as a mixed number 5 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 5 + (3/4 x 25/25)
= 5 + 75/100

step 6 Simplify the above expression further:
= 5 + 0.75
= 5.75
299/52 = 5.75

Hence,
299/52 as a decimal is 5.75
299/52 as a mixed number is 5 ³/₄