315/80 as a Decimal and Mixed Number

315/80 as a decimal and mixed number expansion provides the detailed information about what is 315/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/80 as a Decimal
315/80 = 3.9375
Hence,
315/80 as a decimal equals to 3.9375
where,
315/80 is a given fraction,
The decimal expansion of 315/80 is 3.9375

315/80 as a Mixed Number
315/80 = (240 + 75)/80
= 240/80 + 75/80
= 3 + 75/80
= 3 75/80
315/80 = 3 75/80

Hence,
315/80 as a mixed number is 3 ⁷⁵/₈₀
where,
315/80 is a given fraction,
3 ⁷⁵/₈₀ is the mixed number representation of 315/80.

The below work with steps provide the detailed information about how to convert fraction 315/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/80.

step 2 The numerator is greater than the denominator of the fraction 315/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/80
= 240 + 75/80
= (3 x 80) + 75/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 75/80

step 4 Simplify the above expression:
= 3 x 80/80 + 75/80
= 3 + 75/80
= 3 + 15 x 5/16 x 5
= 3 + 15/16
3 + 15/16 can be written as a mixed number 3 ¹⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 15/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 3 + (15/16 x 625/625)
= 3 + 9375/10000

step 6 Simplify the above expression further:
= 3 + 0.9375
= 3.9375
315/80 = 3.9375

Hence,
315/80 as a decimal is 3.9375
315/80 as a mixed number is 3 ¹⁵/₁₆