130/52 as a Decimal and Mixed Number

130/52 as a decimal and mixed number expansion provides the detailed information about what is 130/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

130/52 as a Decimal
130/52 = 2.5
Hence,
130/52 as a decimal equals to 2.5
where,
130/52 is a given fraction,
The decimal expansion of 130/52 is 2.5

130/52 as a Mixed Number
130/52 = (104 + 26)/52
= 104/52 + 26/52
= 2 + 26/52
= 2 26/52
130/52 = 2 26/52

Hence,
130/52 as a mixed number is 2 ²⁶/₅₂
where,
130/52 is a given fraction,
2 ²⁶/₅₂ is the mixed number representation of 130/52.

The below work with steps provide the detailed information about how to convert fraction 130/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/52.

step 2 The numerator is greater than the denominator of the fraction 130/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/52
= 104 + 26/52
= (2 x 52) + 26/52

step 3 Make the above expression as individual fractions:
= (2 x 52)/52 + 26/52

step 4 Simplify the above expression:
= 2 x 52/52 + 26/52
= 2 + 26/52
= 2 + 1 x 26/2 x 26
= 2 + 1/2
2 + 1/2 can be written as a mixed number 2 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (1/2 x 5/5)
= 2 + 5/10

step 6 Simplify the above expression further:
= 2 + 0.5
= 2.5
130/52 = 2.5

Hence,
130/52 as a decimal is 2.5
130/52 as a mixed number is 2 ¹/₂