335/80 as a Decimal and Mixed Number

335/80 as a decimal and mixed number expansion provides the detailed information about what is 335/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

335/80 as a Decimal
335/80 = 4.1875
Hence,
335/80 as a decimal equals to 4.1875
where,
335/80 is a given fraction,
The decimal expansion of 335/80 is 4.1875

335/80 as a Mixed Number
335/80 = (320 + 15)/80
= 320/80 + 15/80
= 4 + 15/80
= 4 15/80
335/80 = 4 15/80

Hence,
335/80 as a mixed number is 4 ¹⁵/₈₀
where,
335/80 is a given fraction,
4 ¹⁵/₈₀ is the mixed number representation of 335/80.

The below work with steps provide the detailed information about how to convert fraction 335/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 335/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 335/80.

step 2 The numerator is greater than the denominator of the fraction 335/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 335/80
= 320 + 15/80
= (4 x 80) + 15/80

step 3 Make the above expression as individual fractions:
= (4 x 80)/80 + 15/80

step 4 Simplify the above expression:
= 4 x 80/80 + 15/80
= 4 + 15/80
= 4 + 3 x 5/16 x 5
= 4 + 3/16
4 + 3/16 can be written as a mixed number 4 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 4 + (3/16 x 625/625)
= 4 + 1875/10000

step 6 Simplify the above expression further:
= 4 + 0.1875
= 4.1875
335/80 = 4.1875

Hence,
335/80 as a decimal is 4.1875
335/80 as a mixed number is 4 ³/₁₆