315/312 as a Decimal and Mixed Number

315/312 as a decimal and mixed number expansion provides the detailed information about what is 315/312 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/312 as a Decimal
315/312 = 1.0096
Hence,
315/312 as a decimal equals to 1.0096
where,
315/312 is a given fraction,
The decimal expansion of 315/312 is 1.0096

315/312 as a Mixed Number
315/312 = (312 + 3)/312
= 312/312 + 3/312
= 1 + 3/312
= 1 3/312
315/312 = 1 3/312

Hence,
315/312 as a mixed number is 1 ³/₃₁₂
where,
315/312 is a given fraction,
1 ³/₃₁₂ is the mixed number representation of 315/312.

The below work with steps provide the detailed information about how to convert fraction 315/312 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/312

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/312.

step 2 The numerator is greater than the denominator of the fraction 315/312, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/312
= 312 + 3/312

step 3 Make the above expression as individual fractions:
= 312/312 + 3/312

step 4 Simplify the above expression:
= 1 x 312/312 + 3/312
= 1 + 3/312
= 1 + 1 x 3/104 x 3
= 1 + 1/104
1 + 1/104 can be written as a mixed number 1 ¹/₁₀₄.


step 5 Find the decimal equivalent for the fractional part 1/104 in the above expression:
= 1 + 0.0096
= 1.0096
315/312 = 1.0096

Hence,
315/312 as a decimal is 1.0096
315/312 as a mixed number is 1 ¹/₁₀₄