130/80 as a Decimal and Mixed Number

130/80 as a decimal and mixed number expansion provides the detailed information about what is 130/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

130/80 as a Decimal
130/80 = 1.625
Hence,
130/80 as a decimal equals to 1.625
where,
130/80 is a given fraction,
The decimal expansion of 130/80 is 1.625

130/80 as a Mixed Number
130/80 = (80 + 50)/80
= 80/80 + 50/80
= 1 + 50/80
= 1 50/80
130/80 = 1 50/80

Hence,
130/80 as a mixed number is 1 ⁵⁰/₈₀
where,
130/80 is a given fraction,
1 ⁵⁰/₈₀ is the mixed number representation of 130/80.

The below work with steps provide the detailed information about how to convert fraction 130/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/80.

step 2 The numerator is greater than the denominator of the fraction 130/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/80
= 80 + 50/80

step 3 Make the above expression as individual fractions:
= 80/80 + 50/80

step 4 Simplify the above expression:
= 1 x 80/80 + 50/80
= 1 + 50/80
= 1 + 5 x 10/8 x 10
= 1 + 5/8
1 + 5/8 can be written as a mixed number 1 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (5/8 x 125/125)
= 1 + 625/1000

step 6 Simplify the above expression further:
= 1 + 0.625
= 1.625
130/80 = 1.625

Hence,
130/80 as a decimal is 1.625
130/80 as a mixed number is 1 ⁵/₈