305/80 as a Decimal and Mixed Number

305/80 as a decimal and mixed number expansion provides the detailed information about what is 305/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

305/80 as a Decimal
305/80 = 3.8125
Hence,
305/80 as a decimal equals to 3.8125
where,
305/80 is a given fraction,
The decimal expansion of 305/80 is 3.8125

305/80 as a Mixed Number
305/80 = (240 + 65)/80
= 240/80 + 65/80
= 3 + 65/80
= 3 65/80
305/80 = 3 65/80

Hence,
305/80 as a mixed number is 3 ⁶⁵/₈₀
where,
305/80 is a given fraction,
3 ⁶⁵/₈₀ is the mixed number representation of 305/80.

The below work with steps provide the detailed information about how to convert fraction 305/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 305/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 305/80.

step 2 The numerator is greater than the denominator of the fraction 305/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 305/80
= 240 + 65/80
= (3 x 80) + 65/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 65/80

step 4 Simplify the above expression:
= 3 x 80/80 + 65/80
= 3 + 65/80
= 3 + 13 x 5/16 x 5
= 3 + 13/16
3 + 13/16 can be written as a mixed number 3 ¹³/₁₆.


step 5 Find the decimal equivalent for the fractional part 13/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 3 + (13/16 x 625/625)
= 3 + 8125/10000

step 6 Simplify the above expression further:
= 3 + 0.8125
= 3.8125
305/80 = 3.8125

Hence,
305/80 as a decimal is 3.8125
305/80 as a mixed number is 3 ¹³/₁₆