355/315 as a Decimal and Mixed Number

355/315 as a decimal and mixed number expansion provides the detailed information about what is 355/315 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/315 as a Decimal
355/315 = 1.127
Hence,
355/315 as a decimal equals to 1.127
where,
355/315 is a given fraction,
The decimal expansion of 355/315 is 1.127

355/315 as a Mixed Number
355/315 = (315 + 40)/315
= 315/315 + 40/315
= 1 + 40/315
= 1 40/315
355/315 = 1 40/315

Hence,
355/315 as a mixed number is 1 ⁴⁰/₃₁₅
where,
355/315 is a given fraction,
1 ⁴⁰/₃₁₅ is the mixed number representation of 355/315.

The below work with steps provide the detailed information about how to convert fraction 355/315 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/315

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/315.

step 2 The numerator is greater than the denominator of the fraction 355/315, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/315
= 315 + 40/315

step 3 Make the above expression as individual fractions:
= 315/315 + 40/315

step 4 Simplify the above expression:
= 1 x 315/315 + 40/315
= 1 + 40/315
= 1 + 8 x 5/63 x 5
= 1 + 8/63
1 + 8/63 can be written as a mixed number 1 ⁸/₆₃.


step 5 Find the decimal equivalent for the fractional part 8/63 in the above expression:
= 1 + 0.127
= 1.127
355/315 = 1.127

Hence,
355/315 as a decimal is 1.127
355/315 as a mixed number is 1 ⁸/₆₃