315/90 as a Decimal and Mixed Number

315/90 as a decimal and mixed number expansion provides the detailed information about what is 315/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/90 as a Decimal
315/90 = 3.5
Hence,
315/90 as a decimal equals to 3.5
where,
315/90 is a given fraction,
The decimal expansion of 315/90 is 3.5

315/90 as a Mixed Number
315/90 = (270 + 45)/90
= 270/90 + 45/90
= 3 + 45/90
= 3 45/90
315/90 = 3 45/90

Hence,
315/90 as a mixed number is 3 ⁴⁵/₉₀
where,
315/90 is a given fraction,
3 ⁴⁵/₉₀ is the mixed number representation of 315/90.

The below work with steps provide the detailed information about how to convert fraction 315/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/90.

step 2 The numerator is greater than the denominator of the fraction 315/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/90
= 270 + 45/90
= (3 x 90) + 45/90

step 3 Make the above expression as individual fractions:
= (3 x 90)/90 + 45/90

step 4 Simplify the above expression:
= 3 x 90/90 + 45/90
= 3 + 45/90
= 3 + 1 x 45/2 x 45
= 3 + 1/2
3 + 1/2 can be written as a mixed number 3 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 3 + (1/2 x 5/5)
= 3 + 5/10

step 6 Simplify the above expression further:
= 3 + 0.5
= 3.5
315/90 = 3.5

Hence,
315/90 as a decimal is 3.5
315/90 as a mixed number is 3 ¹/₂