315/275 as a Decimal and Mixed Number

315/275 as a decimal and mixed number expansion provides the detailed information about what is 315/275 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/275 as a Decimal
315/275 = 1.1455
Hence,
315/275 as a decimal equals to 1.1455
where,
315/275 is a given fraction,
The decimal expansion of 315/275 is 1.1455

315/275 as a Mixed Number
315/275 = (275 + 40)/275
= 275/275 + 40/275
= 1 + 40/275
= 1 40/275
315/275 = 1 40/275

Hence,
315/275 as a mixed number is 1 ⁴⁰/₂₇₅
where,
315/275 is a given fraction,
1 ⁴⁰/₂₇₅ is the mixed number representation of 315/275.

The below work with steps provide the detailed information about how to convert fraction 315/275 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/275

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/275.

step 2 The numerator is greater than the denominator of the fraction 315/275, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/275
= 275 + 40/275

step 3 Make the above expression as individual fractions:
= 275/275 + 40/275

step 4 Simplify the above expression:
= 1 x 275/275 + 40/275
= 1 + 40/275
= 1 + 8 x 5/55 x 5
= 1 + 8/55
1 + 8/55 can be written as a mixed number 1 ⁸/₅₅.


step 5 Find the decimal equivalent for the fractional part 8/55 in the above expression:
= 1 + 0.1455
= 1.1455
315/275 = 1.1455

Hence,
315/275 as a decimal is 1.1455
315/275 as a mixed number is 1 ⁸/₅₅