290/80 as a Decimal and Mixed Number

290/80 as a decimal and mixed number expansion provides the detailed information about what is 290/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

290/80 as a Decimal
290/80 = 3.625
Hence,
290/80 as a decimal equals to 3.625
where,
290/80 is a given fraction,
The decimal expansion of 290/80 is 3.625

290/80 as a Mixed Number
290/80 = (240 + 50)/80
= 240/80 + 50/80
= 3 + 50/80
= 3 50/80
290/80 = 3 50/80

Hence,
290/80 as a mixed number is 3 ⁵⁰/₈₀
where,
290/80 is a given fraction,
3 ⁵⁰/₈₀ is the mixed number representation of 290/80.

The below work with steps provide the detailed information about how to convert fraction 290/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 290/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 290/80.

step 2 The numerator is greater than the denominator of the fraction 290/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 290/80
= 240 + 50/80
= (3 x 80) + 50/80

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

step 4 Simplify the above expression:
= 3 x 80/80 + 50/80
= 3 + 50/80
= 3 + 5 x 10/8 x 10
= 3 + 5/8
3 + 5/8 can be written as a mixed number 3 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:
= 3 + (5/8 x 125/125)
= 3 + 625/1000

step 6 Simplify the above expression further:
= 3 + 0.625
= 3.625
290/80 = 3.625

Hence,
290/80 as a decimal is 3.625
290/80 as a mixed number is 3 ⁵/₈