315/308 as a Decimal and Mixed Number

315/308 as a decimal and mixed number expansion provides the detailed information about what is 315/308 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/308 as a Decimal
315/308 = 1.0227
Hence,
315/308 as a decimal equals to 1.0227
where,
315/308 is a given fraction,
The decimal expansion of 315/308 is 1.0227

315/308 as a Mixed Number
315/308 = (308 + 7)/308
= 308/308 + 7/308
= 1 + 7/308
= 1 7/308
315/308 = 1 7/308

Hence,
315/308 as a mixed number is 1 ⁷/₃₀₈
where,
315/308 is a given fraction,
1 ⁷/₃₀₈ is the mixed number representation of 315/308.

The below work with steps provide the detailed information about how to convert fraction 315/308 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/308

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/308.

step 2 The numerator is greater than the denominator of the fraction 315/308, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/308
= 308 + 7/308

step 3 Make the above expression as individual fractions:
= 308/308 + 7/308

step 4 Simplify the above expression:
= 1 x 308/308 + 7/308
= 1 + 7/308
= 1 + 1 x 7/44 x 7
= 1 + 1/44
1 + 1/44 can be written as a mixed number 1 ¹/₄₄.


step 5 Find the decimal equivalent for the fractional part 1/44 in the above expression:
= 1 + 0.0227
= 1.0227
315/308 = 1.0227

Hence,
315/308 as a decimal is 1.0227
315/308 as a mixed number is 1 ¹/₄₄